About the Execution of 2023-gold for PermAdmissibility-PT-10
Execution Summary | |||||
Max Memory Used (MB) |
Time wait (ms) | CPU Usage (ms) | I/O Wait (ms) | Computed Result | Execution Status |
13472.151 | 3600000.00 | 12209023.00 | 3687.40 | F?TFTFFTFTFFTFFF | normal |
Execution Chart
We display below the execution chart for this examination (boot time has been removed).
Trace from the execution
Formatting '/data/fkordon/mcc2024-input.r285-smll-171654422000113.qcow2', fmt=qcow2 size=4294967296 backing_file=/data/fkordon/mcc2024-input.qcow2 backing_fmt=qcow2 cluster_size=65536 lazy_refcounts=off refcount_bits=16
Waiting for the VM to be ready (probing ssh)
........................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................
=====================================================================
Generated by BenchKit 2-5568
Executing tool gold2023
Input is PermAdmissibility-PT-10, examination is LTLFireability
Time confinement is 3600 seconds
Memory confinement is 16384 MBytes
Number of cores is 4
Run identifier is r285-smll-171654422000113
=====================================================================
--------------------
preparation of the directory to be used:
/home/mcc/execution
total 1.8M
-rw-r--r-- 1 mcc users 9.9K Apr 12 09:19 CTLCardinality.txt
-rw-r--r-- 1 mcc users 97K Apr 12 09:19 CTLCardinality.xml
-rw-r--r-- 1 mcc users 68K Apr 12 09:16 CTLFireability.txt
-rw-r--r-- 1 mcc users 361K Apr 12 09:16 CTLFireability.xml
-rw-r--r-- 1 mcc users 4.2K May 18 16:43 GenericPropertiesDefinition.xml
-rw-r--r-- 1 mcc users 6.3K May 18 16:43 GenericPropertiesVerdict.xml
-rw-r--r-- 1 mcc users 5.6K Apr 23 07:42 LTLCardinality.txt
-rw-r--r-- 1 mcc users 33K Apr 23 07:42 LTLCardinality.xml
-rw-r--r-- 1 mcc users 18K Apr 23 07:42 LTLFireability.txt
-rw-r--r-- 1 mcc users 73K Apr 23 07:42 LTLFireability.xml
-rw-r--r-- 1 mcc users 19K Apr 12 09:28 ReachabilityCardinality.txt
-rw-r--r-- 1 mcc users 177K Apr 12 09:28 ReachabilityCardinality.xml
-rw-r--r-- 1 mcc users 80K Apr 12 09:27 ReachabilityFireability.txt
-rw-r--r-- 1 mcc users 401K Apr 12 09:27 ReachabilityFireability.xml
-rw-r--r-- 1 mcc users 1.9K Apr 23 07:42 UpperBounds.txt
-rw-r--r-- 1 mcc users 4.3K Apr 23 07:42 UpperBounds.xml
-rw-r--r-- 1 mcc users 5 May 18 16:43 equiv_col
-rw-r--r-- 1 mcc users 3 May 18 16:43 instance
-rw-r--r-- 1 mcc users 6 May 18 16:43 iscolored
-rw-r--r-- 1 mcc users 340K May 18 16:43 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 PermAdmissibility-PT-10-LTLFireability-00
FORMULA_NAME PermAdmissibility-PT-10-LTLFireability-01
FORMULA_NAME PermAdmissibility-PT-10-LTLFireability-02
FORMULA_NAME PermAdmissibility-PT-10-LTLFireability-03
FORMULA_NAME PermAdmissibility-PT-10-LTLFireability-04
FORMULA_NAME PermAdmissibility-PT-10-LTLFireability-05
FORMULA_NAME PermAdmissibility-PT-10-LTLFireability-06
FORMULA_NAME PermAdmissibility-PT-10-LTLFireability-07
FORMULA_NAME PermAdmissibility-PT-10-LTLFireability-08
FORMULA_NAME PermAdmissibility-PT-10-LTLFireability-09
FORMULA_NAME PermAdmissibility-PT-10-LTLFireability-10
FORMULA_NAME PermAdmissibility-PT-10-LTLFireability-11
FORMULA_NAME PermAdmissibility-PT-10-LTLFireability-12
FORMULA_NAME PermAdmissibility-PT-10-LTLFireability-13
FORMULA_NAME PermAdmissibility-PT-10-LTLFireability-14
FORMULA_NAME PermAdmissibility-PT-10-LTLFireability-15
=== Now, execution of the tool begins
BK_START 1716866255626
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=gold2023
BK_EXAMINATION=LTLFireability
BK_BIN_PATH=/home/mcc/BenchKit/bin/
BK_TIME_CONFINEMENT=3600
BK_INPUT=PermAdmissibility-PT-10
Not applying reductions.
Model is PT
LTLFireability PT
Running Version 202304061127
[2024-05-28 03:17:38] [INFO ] Running its-tools with arguments : [-pnfolder, /home/mcc/execution, -examination, LTLFireability, -its, -ltsmin, -greatspnpath, /home/mcc/BenchKit/bin//../itstools/bin//..//greatspn/, -order, META, -manyOrder, -smt, -timeout, 3600]
[2024-05-28 03:17:38] [INFO ] Parsing pnml file : /home/mcc/execution/model.pnml
[2024-05-28 03:17:38] [INFO ] Load time of PNML (sax parser for PT used): 139 ms
[2024-05-28 03:17:38] [INFO ] Transformed 168 places.
[2024-05-28 03:17:38] [INFO ] Transformed 592 transitions.
[2024-05-28 03:17:38] [INFO ] Parsed PT model containing 168 places and 592 transitions and 3456 arcs in 259 ms.
Parsed 16 properties from file /home/mcc/execution/LTLFireability.xml in 21 ms.
Working with output stream class java.io.PrintStream
Initial state reduction rules removed 2 formulas.
FORMULA PermAdmissibility-PT-10-LTLFireability-00 FALSE TECHNIQUES TOPOLOGICAL INITIAL_STATE
FORMULA PermAdmissibility-PT-10-LTLFireability-12 TRUE TECHNIQUES TOPOLOGICAL INITIAL_STATE
Support contains 84 out of 168 places. Attempting structural reductions.
Starting structural reductions in LTL mode, iteration 0 : 168/168 places, 592/592 transitions.
Reduce places removed 64 places and 0 transitions.
Iterating post reduction 0 with 64 rules applied. Total rules applied 64 place count 104 transition count 592
Applied a total of 64 rules in 32 ms. Remains 104 /168 variables (removed 64) and now considering 592/592 (removed 0) transitions.
// Phase 1: matrix 592 rows 104 cols
[2024-05-28 03:17:39] [INFO ] Computed 16 invariants in 31 ms
[2024-05-28 03:17:39] [INFO ] Implicit Places using invariants in 307 ms returned []
[2024-05-28 03:17:39] [INFO ] Invariant cache hit.
[2024-05-28 03:17:39] [INFO ] Implicit Places using invariants and state equation in 412 ms returned []
Implicit Place search using SMT with State Equation took 765 ms to find 0 implicit places.
[2024-05-28 03:17:39] [INFO ] Invariant cache hit.
[2024-05-28 03:17:40] [INFO ] Dead Transitions using invariants and state equation in 401 ms found 0 transitions.
Starting structural reductions in LTL mode, iteration 1 : 104/168 places, 592/592 transitions.
Finished structural reductions in LTL mode , in 1 iterations and 1208 ms. Remains : 104/168 places, 592/592 transitions.
Support contains 84 out of 104 places after structural reductions.
[2024-05-28 03:17:40] [INFO ] Flatten gal took : 158 ms
[2024-05-28 03:17:40] [INFO ] Flatten gal took : 144 ms
[2024-05-28 03:17:41] [INFO ] Input system was already deterministic with 592 transitions.
Incomplete random walk after 10001 steps, including 56 resets, run finished after 274 ms. (steps per millisecond=36 ) properties (out of 23) seen :19
Finished Best-First random walk after 4085 steps, including 1 resets, run visited all 4 properties in 18 ms. (steps per millisecond=226 )
Parikh walk visited 0 properties in 1 ms.
FORMULA PermAdmissibility-PT-10-LTLFireability-06 FALSE TECHNIQUES REACHABILITY_KNOWLEDGE
Computed a total of 104 stabilizing places and 592 stable transitions
Complete graph has no SCC; deadlocks are unavoidable. place count 104 transition count 592
Detected that all paths lead to deadlock. Applying this knowledge to assert that all AP eventually converge (and all enablings converge to false).
Running Spot : '/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.ltl.spot.binaries_1.0.0.202304061127/bin/ltl2tgba-linux64' '--check=stutter' '--hoaf=tv' '-f' '!(F(p0))'
Support contains 9 out of 104 places. Attempting structural reductions.
Starting structural reductions in SI_LTL mode, iteration 0 : 104/104 places, 592/592 transitions.
Graph (complete) has 975 edges and 104 vertex of which 32 are kept as prefixes of interest. Removing 72 places using SCC suffix rule.5 ms
Discarding 72 places :
Also discarding 512 output transitions
Drop transitions removed 512 transitions
Discarding 5 places :
Symmetric choice reduction at 0 with 5 rule applications. Total rules 6 place count 27 transition count 52
Iterating global reduction 0 with 5 rules applied. Total rules applied 11 place count 27 transition count 52
Applied a total of 11 rules in 18 ms. Remains 27 /104 variables (removed 77) and now considering 52/592 (removed 540) transitions.
// Phase 1: matrix 52 rows 27 cols
[2024-05-28 03:17:42] [INFO ] Computed 8 invariants in 1 ms
[2024-05-28 03:17:42] [INFO ] Implicit Places using invariants in 62 ms returned [12]
Discarding 1 places :
Implicit Place search using SMT only with invariants took 65 ms to find 1 implicit places.
Starting structural reductions in SI_LTL mode, iteration 1 : 26/104 places, 52/592 transitions.
Applied a total of 0 rules in 3 ms. Remains 26 /26 variables (removed 0) and now considering 52/52 (removed 0) transitions.
Finished structural reductions in SI_LTL mode , in 2 iterations and 86 ms. Remains : 26/104 places, 52/592 transitions.
ANTLR Tool version 4.9.3 used for code generation does not match the current runtime version 4.7.2ANTLR Runtime version 4.9.3 used for parser compilation does not match the current runtime version 4.7.2ANTLR Tool version 4.9.3 used for code generation does not match the current runtime version 4.7.2ANTLR Runtime version 4.9.3 used for parser compilation does not match the current runtime version 4.7.2Stuttering acceptance computed with spot in 202 ms :[(NOT p0)]
Running random walk in product with property : PermAdmissibility-PT-10-LTLFireability-01 automaton TGBA Formula[mat=[[{ cond=(NOT p0), acceptance={0} source=0 dest: 0}]], initial=0, aps=[p0:(OR (AND (GEQ s2 1) (GEQ s5 1) (GEQ s6 1)) (AND (GEQ s2 1) (GEQ s3 1) (GEQ s8 1)) (AND (GEQ s2 1) (GEQ s3 1) (GEQ s7 1)) (AND (GEQ s2 1) (GEQ s3 1) (GE...], 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 4076 reset in 586 ms.
Product exploration explored 100000 steps with 4058 reset in 586 ms.
Computed a total of 26 stabilizing places and 52 stable transitions
Complete graph has no SCC; deadlocks are unavoidable. place count 26 transition count 52
Detected that all paths lead to deadlock. Applying this knowledge to assert that all AP eventually converge (and all enablings converge to false).
Detected that all paths lead to deadlock. Applying this knowledge to assert that all AP eventually converge : F ( (Ga|G!a) & (Gb|G!b)...)
Knowledge obtained : [(NOT p0), (X (NOT p0)), (X (X (NOT p0))), (F (G (NOT p0)))]
False Knowledge obtained : []
Knowledge based reduction with 4 factoid took 103 ms. Reduced automaton from 1 states, 1 edges and 1 AP (stutter insensitive) to 1 states, 1 edges and 1 AP (stutter insensitive).
Stuttering acceptance computed with spot in 36 ms :[(NOT p0)]
Finished random walk after 67 steps, including 0 resets, run visited all 1 properties in 2 ms. (steps per millisecond=33 )
Parikh walk visited 0 properties in 0 ms.
Knowledge obtained : [(NOT p0), (X (NOT p0)), (X (X (NOT p0))), (F (G (NOT p0)))]
False Knowledge obtained : [(F p0)]
Knowledge based reduction with 4 factoid took 217 ms. Reduced automaton from 1 states, 1 edges and 1 AP (stutter insensitive) to 1 states, 1 edges and 1 AP (stutter insensitive).
Stuttering acceptance computed with spot in 37 ms :[(NOT p0)]
Stuttering acceptance computed with spot in 37 ms :[(NOT p0)]
// Phase 1: matrix 52 rows 26 cols
[2024-05-28 03:17:44] [INFO ] Computed 7 invariants in 1 ms
[2024-05-28 03:17:44] [INFO ] [Real]Absence check using 0 positive and 7 generalized place invariants in 5 ms returned sat
[2024-05-28 03:17:44] [INFO ] [Real]Adding state equation constraints to refine reachable states.
[2024-05-28 03:17:44] [INFO ] [Real]Absence check using state equation in 23 ms returned sat
[2024-05-28 03:17:44] [INFO ] Solution in real domain found non-integer solution.
[2024-05-28 03:17:44] [INFO ] [Nat]Absence check using 0 positive and 7 generalized place invariants in 3 ms returned sat
[2024-05-28 03:17:44] [INFO ] [Nat]Adding state equation constraints to refine reachable states.
[2024-05-28 03:17:44] [INFO ] [Nat]Absence check using state equation in 23 ms returned sat
[2024-05-28 03:17:44] [INFO ] Computed and/alt/rep : 32/172/32 causal constraints (skipped 16 transitions) in 7 ms.
[2024-05-28 03:17:44] [INFO ] Added : 22 causal constraints over 5 iterations in 87 ms. Result :sat
Could not prove EG (NOT p0)
Support contains 9 out of 26 places. Attempting structural reductions.
Starting structural reductions in SI_LTL mode, iteration 0 : 26/26 places, 52/52 transitions.
Applied a total of 0 rules in 3 ms. Remains 26 /26 variables (removed 0) and now considering 52/52 (removed 0) transitions.
[2024-05-28 03:17:44] [INFO ] Invariant cache hit.
[2024-05-28 03:17:44] [INFO ] Implicit Places using invariants in 44 ms returned []
[2024-05-28 03:17:44] [INFO ] Invariant cache hit.
[2024-05-28 03:17:44] [INFO ] Implicit Places using invariants and state equation in 69 ms returned []
Implicit Place search using SMT with State Equation took 126 ms to find 0 implicit places.
[2024-05-28 03:17:44] [INFO ] Redundant transitions in 0 ms returned []
[2024-05-28 03:17:44] [INFO ] Invariant cache hit.
[2024-05-28 03:17:44] [INFO ] Dead Transitions using invariants and state equation in 52 ms found 0 transitions.
Finished structural reductions in SI_LTL mode , in 1 iterations and 193 ms. Remains : 26/26 places, 52/52 transitions.
Computed a total of 26 stabilizing places and 52 stable transitions
Complete graph has no SCC; deadlocks are unavoidable. place count 26 transition count 52
Detected that all paths lead to deadlock. Applying this knowledge to assert that all AP eventually converge (and all enablings converge to false).
Detected that all paths lead to deadlock. Applying this knowledge to assert that all AP eventually converge : F ( (Ga|G!a) & (Gb|G!b)...)
Knowledge obtained : [(NOT p0), (X (NOT p0)), (X (X (NOT p0))), (F (G (NOT p0)))]
False Knowledge obtained : []
Knowledge based reduction with 4 factoid took 99 ms. Reduced automaton from 1 states, 1 edges and 1 AP (stutter insensitive) to 1 states, 1 edges and 1 AP (stutter insensitive).
Stuttering acceptance computed with spot in 38 ms :[(NOT p0)]
Finished random walk after 67 steps, including 0 resets, run visited all 1 properties in 1 ms. (steps per millisecond=67 )
Parikh walk visited 0 properties in 0 ms.
Knowledge obtained : [(NOT p0), (X (NOT p0)), (X (X (NOT p0))), (F (G (NOT p0)))]
False Knowledge obtained : [(F p0)]
Knowledge based reduction with 4 factoid took 120 ms. Reduced automaton from 1 states, 1 edges and 1 AP (stutter insensitive) to 1 states, 1 edges and 1 AP (stutter insensitive).
Stuttering acceptance computed with spot in 37 ms :[(NOT p0)]
Stuttering acceptance computed with spot in 37 ms :[(NOT p0)]
[2024-05-28 03:17:44] [INFO ] Invariant cache hit.
[2024-05-28 03:17:45] [INFO ] [Real]Absence check using 0 positive and 7 generalized place invariants in 3 ms returned sat
[2024-05-28 03:17:45] [INFO ] [Real]Adding state equation constraints to refine reachable states.
[2024-05-28 03:17:45] [INFO ] [Real]Absence check using state equation in 20 ms returned sat
[2024-05-28 03:17:45] [INFO ] Solution in real domain found non-integer solution.
[2024-05-28 03:17:45] [INFO ] [Nat]Absence check using 0 positive and 7 generalized place invariants in 3 ms returned sat
[2024-05-28 03:17:45] [INFO ] [Nat]Adding state equation constraints to refine reachable states.
[2024-05-28 03:17:45] [INFO ] [Nat]Absence check using state equation in 42 ms returned sat
[2024-05-28 03:17:45] [INFO ] Computed and/alt/rep : 32/172/32 causal constraints (skipped 16 transitions) in 6 ms.
[2024-05-28 03:17:45] [INFO ] Added : 27 causal constraints over 6 iterations in 114 ms. Result :sat
Could not prove EG (NOT p0)
Stuttering acceptance computed with spot in 41 ms :[(NOT p0)]
Product exploration explored 100000 steps with 4058 reset in 386 ms.
Product exploration explored 100000 steps with 4039 reset in 430 ms.
Built C files in :
/tmp/ltsmin148480933038306688
[2024-05-28 03:17:46] [INFO ] Computing symmetric may disable matrix : 52 transitions.
[2024-05-28 03:17:46] [INFO ] Computation of Complete disable matrix. took 1 ms. Total solver calls (SAT/UNSAT): 0(0/0)
[2024-05-28 03:17:46] [INFO ] Computing symmetric may enable matrix : 52 transitions.
[2024-05-28 03:17:46] [INFO ] Computation of Complete enable matrix. took 1 ms. Total solver calls (SAT/UNSAT): 0(0/0)
[2024-05-28 03:17:46] [INFO ] Computing Do-Not-Accords matrix : 52 transitions.
[2024-05-28 03:17:46] [INFO ] Computation of Completed DNA matrix. took 1 ms. Total solver calls (SAT/UNSAT): 0(0/0)
[2024-05-28 03:17:46] [INFO ] Built C files in 17ms conformant to PINS (ltsmin variant)in folder :/tmp/ltsmin148480933038306688
Running compilation step : cd /tmp/ltsmin148480933038306688;'/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.move.gal.ltsmin.binaries_1.0.0.202304061127/bin/limit_time.pl' '3' 'gcc' '-c' '-I/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.move.gal.ltsmin.binaries_1.0.0.202304061127/bin/include/' '-I.' '-std=c99' '-fPIC' '-O0' 'model.c'
Compilation finished in 402 ms.
Running link step : cd /tmp/ltsmin148480933038306688;'gcc' '-shared' '-o' 'gal.so' 'model.o'
Link finished in 48 ms.
Running LTSmin : cd /tmp/ltsmin148480933038306688;'/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.move.gal.ltsmin.binaries_1.0.0.202304061127/bin/pins2lts-mc-linux64' './gal.so' '--threads=8' '-p' '--pins-guards' '--when' '--hoa' '/tmp/stateBased14607283801843784316.hoa' '--buchi-type=spotba'
WARNING : LTS min runner thread was asked to interrupt. Dying gracefully.
Support contains 9 out of 26 places. Attempting structural reductions.
Starting structural reductions in SI_LTL mode, iteration 0 : 26/26 places, 52/52 transitions.
Applied a total of 0 rules in 3 ms. Remains 26 /26 variables (removed 0) and now considering 52/52 (removed 0) transitions.
[2024-05-28 03:18:01] [INFO ] Invariant cache hit.
[2024-05-28 03:18:01] [INFO ] Implicit Places using invariants in 50 ms returned []
[2024-05-28 03:18:01] [INFO ] Invariant cache hit.
[2024-05-28 03:18:01] [INFO ] Implicit Places using invariants and state equation in 73 ms returned []
Implicit Place search using SMT with State Equation took 126 ms to find 0 implicit places.
[2024-05-28 03:18:01] [INFO ] Redundant transitions in 1 ms returned []
[2024-05-28 03:18:01] [INFO ] Invariant cache hit.
[2024-05-28 03:18:01] [INFO ] Dead Transitions using invariants and state equation in 51 ms found 0 transitions.
Finished structural reductions in SI_LTL mode , in 1 iterations and 188 ms. Remains : 26/26 places, 52/52 transitions.
Built C files in :
/tmp/ltsmin6557309040798626302
[2024-05-28 03:18:01] [INFO ] Computing symmetric may disable matrix : 52 transitions.
[2024-05-28 03:18:01] [INFO ] Computation of Complete disable matrix. took 1 ms. Total solver calls (SAT/UNSAT): 0(0/0)
[2024-05-28 03:18:01] [INFO ] Computing symmetric may enable matrix : 52 transitions.
[2024-05-28 03:18:01] [INFO ] Computation of Complete enable matrix. took 1 ms. Total solver calls (SAT/UNSAT): 0(0/0)
[2024-05-28 03:18:01] [INFO ] Computing Do-Not-Accords matrix : 52 transitions.
[2024-05-28 03:18:01] [INFO ] Computation of Completed DNA matrix. took 1 ms. Total solver calls (SAT/UNSAT): 0(0/0)
[2024-05-28 03:18:01] [INFO ] Built C files in 14ms conformant to PINS (ltsmin variant)in folder :/tmp/ltsmin6557309040798626302
Running compilation step : cd /tmp/ltsmin6557309040798626302;'/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.move.gal.ltsmin.binaries_1.0.0.202304061127/bin/limit_time.pl' '3' 'gcc' '-c' '-I/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.move.gal.ltsmin.binaries_1.0.0.202304061127/bin/include/' '-I.' '-std=c99' '-fPIC' '-O0' 'model.c'
Compilation finished in 201 ms.
Running link step : cd /tmp/ltsmin6557309040798626302;'gcc' '-shared' '-o' 'gal.so' 'model.o'
Link finished in 26 ms.
Running LTSmin : cd /tmp/ltsmin6557309040798626302;'/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.move.gal.ltsmin.binaries_1.0.0.202304061127/bin/pins2lts-mc-linux64' './gal.so' '--threads=8' '-p' '--pins-guards' '--when' '--hoa' '/tmp/stateBased4733742098174811695.hoa' '--buchi-type=spotba'
WARNING : LTS min runner thread was asked to interrupt. Dying gracefully.
[2024-05-28 03:18:16] [INFO ] Flatten gal took : 7 ms
[2024-05-28 03:18:16] [INFO ] Flatten gal took : 7 ms
[2024-05-28 03:18:16] [INFO ] Time to serialize gal into /tmp/LTL6832603337533636635.gal : 3 ms
[2024-05-28 03:18:16] [INFO ] Time to serialize properties into /tmp/LTL14314105554539757495.prop : 1 ms
Invoking ITS tools like this :cd /home/mcc/execution;'/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202304061127/bin/its-ltl-linux64' '--gc-threshold' '2000000' '-i' '/tmp/LTL6832603337533636635.gal' '-t' 'CGAL' '-hoa' '/tmp/aut1847113841529877900.hoa' '-atoms' '/tmp/LTL14314105554539757495.prop' '-c' '-stutter-deadlock' '--gen-order' 'FOLLOW'
its-ltl command run as :
/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202304061127/bin/its-ltl-linux64 --gc-threshold 2000000 -i /tmp/L...318
Loading property file /tmp/LTL14314105554539757495.prop.
Loaded 1 atomic propositions.
Checking formula 0 provided in automaton : /tmp/aut1847113841529877900.hoa
Detected timeout of ITS tools.
[2024-05-28 03:18:31] [INFO ] Flatten gal took : 5 ms
[2024-05-28 03:18:31] [INFO ] Flatten gal took : 5 ms
[2024-05-28 03:18:31] [INFO ] Time to serialize gal into /tmp/LTL18092188907025593461.gal : 1 ms
[2024-05-28 03:18:31] [INFO ] Time to serialize properties into /tmp/LTL4873809344581076362.ltl : 2 ms
Invoking ITS tools like this :cd /home/mcc/execution;'/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202304061127/bin/its-ltl-linux64' '--gc-threshold' '2000000' '-i' '/tmp/LTL18092188907025593461.gal' '-t' 'CGAL' '-LTL' '/tmp/LTL4873809344581076362.ltl' '-c' '-stutter-deadlock' '--gen-order' 'FOLLOW'
its-ltl command run as :
/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202304061127/bin/its-ltl-linux64 --gc-threshold 2000000 -i /tmp/L...276
Read 1 LTL properties
Checking formula 0 : !((F("(((((((c12>=1)&&(aux6_5>=1))&&(aux8_2>=1))||(((c12>=1)&&(aux8_3>=1))&&(aux6_4>=1)))||((((c12>=1)&&(aux8_3>=1))&&(aux6_1>=1))||((...699
Formula 0 simplified : G!"(((((((c12>=1)&&(aux6_5>=1))&&(aux8_2>=1))||(((c12>=1)&&(aux8_3>=1))&&(aux6_4>=1)))||((((c12>=1)&&(aux8_3>=1))&&(aux6_1>=1))||(((...695
Detected timeout of ITS tools.
[2024-05-28 03:18:46] [INFO ] Flatten gal took : 5 ms
[2024-05-28 03:18:46] [INFO ] Applying decomposition
[2024-05-28 03:18:46] [INFO ] Flatten gal took : 5 ms
Converted graph to binary with : '/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.move.gal.louvain.binaries_1.0.0.202304061127/bin/convert-linux64' '-i' '/tmp/graph6818063802702354103.txt' '-o' '/tmp/graph6818063802702354103.bin' '-w' '/tmp/graph6818063802702354103.weights'
Built communities with : '/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.move.gal.louvain.binaries_1.0.0.202304061127/bin/louvain-linux64' '/tmp/graph6818063802702354103.bin' '-l' '-1' '-v' '-w' '/tmp/graph6818063802702354103.weights' '-q' '0' '-e' '0.001'
[2024-05-28 03:18:47] [INFO ] Decomposing Gal with order
[2024-05-28 03:18:47] [INFO ] Rewriting arrays to variables to allow decomposition.
[2024-05-28 03:18:47] [INFO ] Removed a total of 4 redundant transitions.
[2024-05-28 03:18:47] [INFO ] Flatten gal took : 54 ms
[2024-05-28 03:18:47] [INFO ] Fuse similar labels procedure discarded/fused a total of 6 labels/synchronizations in 3 ms.
[2024-05-28 03:18:47] [INFO ] Time to serialize gal into /tmp/LTL11197800441408545760.gal : 3 ms
[2024-05-28 03:18:47] [INFO ] Time to serialize properties into /tmp/LTL13708631876655020331.ltl : 1 ms
Invoking ITS tools like this :cd /home/mcc/execution;'/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202304061127/bin/its-ltl-linux64' '--gc-threshold' '2000000' '-i' '/tmp/LTL11197800441408545760.gal' '-t' 'CGAL' '-LTL' '/tmp/LTL13708631876655020331.ltl' '-c' '-stutter-deadlock'
its-ltl command run as :
/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202304061127/bin/its-ltl-linux64 --gc-threshold 2000000 -i /tmp/L...256
Read 1 LTL properties
Checking formula 0 : !((F("(((((((u0.c12>=1)&&(u0.aux6_5>=1))&&(u0.aux8_2>=1))||(((u0.c12>=1)&&(u0.aux8_3>=1))&&(u0.aux6_4>=1)))||((((u0.c12>=1)&&(u0.aux8_...843
Formula 0 simplified : G!"(((((((u0.c12>=1)&&(u0.aux6_5>=1))&&(u0.aux8_2>=1))||(((u0.c12>=1)&&(u0.aux8_3>=1))&&(u0.aux6_4>=1)))||((((u0.c12>=1)&&(u0.aux8_3...839
Detected timeout of ITS tools.
Built C files in :
/tmp/ltsmin11039257372951501815
[2024-05-28 03:19:02] [INFO ] Built C files in 6ms conformant to PINS (ltsmin variant)in folder :/tmp/ltsmin11039257372951501815
Running compilation step : cd /tmp/ltsmin11039257372951501815;'/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.move.gal.ltsmin.binaries_1.0.0.202304061127/bin/limit_time.pl' '3' 'gcc' '-c' '-I/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.move.gal.ltsmin.binaries_1.0.0.202304061127/bin/include/' '-I.' '-std=c99' '-fPIC' '-O0' 'model.c'
Compilation finished in 191 ms.
Running link step : cd /tmp/ltsmin11039257372951501815;'gcc' '-shared' '-o' 'gal.so' 'model.o'
Link finished in 28 ms.
Running LTSmin : cd /tmp/ltsmin11039257372951501815;'/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.move.gal.ltsmin.binaries_1.0.0.202304061127/bin/pins2lts-mc-linux64' './gal.so' '--threads=8' '--when' '--ltl' '<>((LTLAPp0==true))' '--buchi-type=spotba'
WARNING : LTS min runner thread was asked to interrupt. Dying gracefully.
Treatment of property PermAdmissibility-PT-10-LTLFireability-01 finished in 95390 ms.
Running Spot : '/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.ltl.spot.binaries_1.0.0.202304061127/bin/ltl2tgba-linux64' '--check=stutter' '--hoaf=tv' '-f' '!(F((G(F(p0))&&((F(p0)&&X(!p1))||X(G(!p1))))))'
Support contains 22 out of 104 places. Attempting structural reductions.
Starting structural reductions in LTL mode, iteration 0 : 104/104 places, 592/592 transitions.
Discarding 13 places :
Symmetric choice reduction at 0 with 13 rule applications. Total rules 13 place count 91 transition count 468
Iterating global reduction 0 with 13 rules applied. Total rules applied 26 place count 91 transition count 468
Applied a total of 26 rules in 19 ms. Remains 91 /104 variables (removed 13) and now considering 468/592 (removed 124) transitions.
// Phase 1: matrix 468 rows 91 cols
[2024-05-28 03:19:17] [INFO ] Computed 16 invariants in 13 ms
[2024-05-28 03:19:17] [INFO ] Implicit Places using invariants in 153 ms returned [18]
Discarding 1 places :
Implicit Place search using SMT only with invariants took 155 ms to find 1 implicit places.
Starting structural reductions in LTL mode, iteration 1 : 90/104 places, 468/592 transitions.
Applied a total of 0 rules in 9 ms. Remains 90 /90 variables (removed 0) and now considering 468/468 (removed 0) transitions.
Finished structural reductions in LTL mode , in 2 iterations and 185 ms. Remains : 90/104 places, 468/592 transitions.
Stuttering acceptance computed with spot in 234 ms :[(OR (NOT p0) p1), (NOT p0), (NOT p0), p1, (AND (NOT p0) p1)]
Running random walk in product with property : PermAdmissibility-PT-10-LTLFireability-02 automaton TGBA Formula[mat=[[{ cond=(NOT p0), acceptance={} source=0 dest: 1}, { cond=true, acceptance={} source=0 dest: 2}, { cond=true, acceptance={} source=0 dest: 3}], [{ cond=(NOT p0), acceptance={0} source=1 dest: 1}], [{ cond=(NOT p0), acceptance={} source=2 dest: 1}, { cond=true, acceptance={} source=2 dest: 2}], [{ cond=p1, acceptance={0} source=3 dest: 3}, { cond=(AND (NOT p0) p1), acceptance={} source=3 dest: 4}], [{ cond=(AND (NOT p0) (NOT p1)), acceptance={} source=4 dest: 4}, { cond=(AND (NOT p0) p1), acceptance={0} source=4 dest: 4}]], initial=0, aps=[p0:(AND (OR (LT s2 1) (LT s13 1) (LT s15 1)) (OR (LT s6 1) (LT s12 1) (LT s15 1)) (OR (LT s3 1) (LT s10 1) (LT s15 1)) (OR (LT s7 1) (LT s8 1) (LT s15 1))...], 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 2562 reset in 1231 ms.
Product exploration explored 100000 steps with 2513 reset in 1249 ms.
Computed a total of 90 stabilizing places and 468 stable transitions
Complete graph has no SCC; deadlocks are unavoidable. place count 90 transition count 468
Detected that all paths lead to deadlock. Applying this knowledge to assert that all AP eventually converge (and all enablings converge to false).
Detected that all paths lead to deadlock. Applying this knowledge to assert that all AP eventually converge : F ( (Ga|G!a) & (Gb|G!b)...)
Knowledge obtained : [(AND p0 (NOT p1)), (X (NOT (AND (NOT p0) p1))), (X p0), (X (NOT p1)), (X (X (NOT (AND (NOT p0) (NOT p1))))), true, (X (X (NOT (AND (NOT p0) p1)))), (X (X p0)), (F (G p0)), (F (G (NOT p1)))]
False Knowledge obtained : [(X (X p1)), (X (X (NOT p1)))]
Property proved to be true thanks to knowledge (Minato strategy)
Knowledge based reduction with 10 factoid took 18 ms. Reduced automaton from 5 states, 10 edges and 2 AP (stutter sensitive) to 1 states, 0 edges and 0 AP (stutter insensitive).
FORMULA PermAdmissibility-PT-10-LTLFireability-02 TRUE TECHNIQUES KNOWLEDGE
Treatment of property PermAdmissibility-PT-10-LTLFireability-02 finished in 3101 ms.
Running Spot : '/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.ltl.spot.binaries_1.0.0.202304061127/bin/ltl2tgba-linux64' '--check=stutter' '--hoaf=tv' '-f' '!(X((X((p0 U X(G(!p0)))) U G(p1))))'
Support contains 18 out of 104 places. Attempting structural reductions.
Starting structural reductions in LTL mode, iteration 0 : 104/104 places, 592/592 transitions.
Discarding 26 places :
Symmetric choice reduction at 0 with 26 rule applications. Total rules 26 place count 78 transition count 344
Iterating global reduction 0 with 26 rules applied. Total rules applied 52 place count 78 transition count 344
Discarding 24 places :
Symmetric choice reduction at 0 with 24 rule applications. Total rules 76 place count 54 transition count 108
Iterating global reduction 0 with 24 rules applied. Total rules applied 100 place count 54 transition count 108
Applied a total of 100 rules in 19 ms. Remains 54 /104 variables (removed 50) and now considering 108/592 (removed 484) transitions.
// Phase 1: matrix 108 rows 54 cols
[2024-05-28 03:19:20] [INFO ] Computed 16 invariants in 2 ms
[2024-05-28 03:19:20] [INFO ] Implicit Places using invariants in 89 ms returned [0, 5, 19, 26]
Discarding 4 places :
Implicit Place search using SMT only with invariants took 90 ms to find 4 implicit places.
Starting structural reductions in LTL mode, iteration 1 : 50/104 places, 108/592 transitions.
Applied a total of 0 rules in 1 ms. Remains 50 /50 variables (removed 0) and now considering 108/108 (removed 0) transitions.
Finished structural reductions in LTL mode , in 2 iterations and 112 ms. Remains : 50/104 places, 108/592 transitions.
Stuttering acceptance computed with spot in 294 ms :[(NOT p1), (NOT p1), p0, (AND p0 (NOT p1)), p0, true, (AND (NOT p1) p0), (NOT p1)]
Running random walk in product with property : PermAdmissibility-PT-10-LTLFireability-03 automaton TGBA Formula[mat=[[{ cond=true, acceptance={} source=0 dest: 1}], [{ cond=p1, acceptance={} source=1 dest: 1}, { cond=(NOT p1), acceptance={0} source=1 dest: 1}, { cond=(NOT p1), acceptance={} source=1 dest: 2}, { cond=p1, acceptance={} source=1 dest: 3}], [{ cond=p0, acceptance={0} source=2 dest: 2}, { cond=(NOT p0), acceptance={} source=2 dest: 4}], [{ cond=(AND (NOT p1) p0), acceptance={} source=3 dest: 2}, { cond=(AND (NOT p1) (NOT p0)), acceptance={} source=3 dest: 4}, { cond=(AND p1 (NOT p0)), acceptance={} source=3 dest: 6}], [{ cond=(NOT p0), acceptance={} source=4 dest: 4}, { cond=p0, acceptance={} source=4 dest: 5}], [{ cond=true, acceptance={0} source=5 dest: 5}], [{ cond=(AND (NOT p1) p0), acceptance={} source=6 dest: 5}, { cond=(AND p1 p0), acceptance={} source=6 dest: 7}], [{ cond=(NOT p1), acceptance={} source=7 dest: 5}, { cond=p1, acceptance={} source=7 dest: 7}]], initial=0, aps=[p1:(OR (AND (GEQ s14 1) (GEQ s15 1) (GEQ s20 1)) (AND (GEQ s11 1) (GEQ s16 1) (GEQ s20 1)) (AND (GEQ s12 1) (GEQ s13 1) (GEQ s20 1)) (AND (GEQ s12 1) (GEQ...], 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]]
Entered a terminal (fully accepting) state of product in 6 steps with 0 reset in 1 ms.
FORMULA PermAdmissibility-PT-10-LTLFireability-03 FALSE TECHNIQUES STUTTER_TEST
Treatment of property PermAdmissibility-PT-10-LTLFireability-03 finished in 432 ms.
Running Spot : '/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.ltl.spot.binaries_1.0.0.202304061127/bin/ltl2tgba-linux64' '--check=stutter' '--hoaf=tv' '-f' '!((F(!p0)||G((!p1||X(!p1)))||X(F(!p2))))'
Support contains 35 out of 104 places. Attempting structural reductions.
Starting structural reductions in LTL mode, iteration 0 : 104/104 places, 592/592 transitions.
Discarding 13 places :
Symmetric choice reduction at 0 with 13 rule applications. Total rules 13 place count 91 transition count 468
Iterating global reduction 0 with 13 rules applied. Total rules applied 26 place count 91 transition count 468
Applied a total of 26 rules in 22 ms. Remains 91 /104 variables (removed 13) and now considering 468/592 (removed 124) transitions.
// Phase 1: matrix 468 rows 91 cols
[2024-05-28 03:19:20] [INFO ] Computed 16 invariants in 5 ms
[2024-05-28 03:19:21] [INFO ] Implicit Places using invariants in 132 ms returned [18]
Discarding 1 places :
Implicit Place search using SMT only with invariants took 135 ms to find 1 implicit places.
Starting structural reductions in LTL mode, iteration 1 : 90/104 places, 468/592 transitions.
Applied a total of 0 rules in 4 ms. Remains 90 /90 variables (removed 0) and now considering 468/468 (removed 0) transitions.
Finished structural reductions in LTL mode , in 2 iterations and 167 ms. Remains : 90/104 places, 468/592 transitions.
Stuttering acceptance computed with spot in 165 ms :[(AND p0 p2 p1), (AND p0 p2 p1), (AND p0 p2 p1), (AND p0 p2)]
Running random walk in product with property : PermAdmissibility-PT-10-LTLFireability-04 automaton TGBA Formula[mat=[[{ cond=(AND p0 (NOT p1)), acceptance={} source=0 dest: 1}, { cond=(AND p0 p1), acceptance={} source=0 dest: 2}], [{ cond=(AND p0 (NOT p1) p2), acceptance={} source=1 dest: 1}, { cond=(AND p0 p1 p2), acceptance={} source=1 dest: 2}], [{ cond=(AND p0 (NOT p1) p2), acceptance={} source=2 dest: 1}, { cond=(AND p0 p1 p2), acceptance={} source=2 dest: 3}], [{ cond=(AND p0 p2), acceptance={0} source=3 dest: 3}]], initial=0, aps=[p0:(AND (OR (LT s2 1) (LT s13 1) (LT s15 1)) (OR (LT s6 1) (LT s12 1) (LT s15 1)) (OR (LT s3 1) (LT s10 1) (LT s15 1)) (OR (LT s7 1) (LT s8 1) (LT s15 1))...], nbAcceptance=1, properties=[trans-labels, explicit-labels, trans-acc, deterministic, no-univ-branch, unambiguous, semi-deterministic, stutter-sensitive, weak, inherently-weak], stateDesc=[null, null, null, null][false, false, false, false]]
Product exploration explored 100000 steps with 50000 reset in 1188 ms.
Product exploration explored 100000 steps with 50000 reset in 1128 ms.
Computed a total of 90 stabilizing places and 468 stable transitions
Complete graph has no SCC; deadlocks are unavoidable. place count 90 transition count 468
Detected that all paths lead to deadlock. Applying this knowledge to assert that all AP eventually converge (and all enablings converge to false).
Detected that all paths lead to deadlock. Applying this knowledge to assert that all AP eventually converge : F ( (Ga|G!a) & (Gb|G!b)...)
Knowledge obtained : [(AND p0 (NOT p1) (NOT p2)), (X (NOT (AND p0 p1 p2))), (X (NOT (AND p0 (NOT p1) p2))), (X (X (NOT (AND p0 p1 p2)))), (X (X (NOT (AND p0 p2)))), (X (X (NOT (AND p0 (NOT p1) p2)))), (F (G p0)), (F (G (NOT p1))), (F (G (NOT p2)))]
False Knowledge obtained : []
Property proved to be true thanks to knowledge (Minato strategy)
Knowledge based reduction with 9 factoid took 19 ms. Reduced automaton from 4 states, 7 edges and 3 AP (stutter sensitive) to 1 states, 0 edges and 0 AP (stutter insensitive).
FORMULA PermAdmissibility-PT-10-LTLFireability-04 TRUE TECHNIQUES KNOWLEDGE
Treatment of property PermAdmissibility-PT-10-LTLFireability-04 finished in 2816 ms.
Running Spot : '/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.ltl.spot.binaries_1.0.0.202304061127/bin/ltl2tgba-linux64' '--check=stutter' '--hoaf=tv' '-f' '!(X((G(p0)&&F(G((G(p0) U (F(p2)||p1)))))))'
Support contains 14 out of 104 places. Attempting structural reductions.
Starting structural reductions in LTL mode, iteration 0 : 104/104 places, 592/592 transitions.
Discarding 26 places :
Symmetric choice reduction at 0 with 26 rule applications. Total rules 26 place count 78 transition count 344
Iterating global reduction 0 with 26 rules applied. Total rules applied 52 place count 78 transition count 344
Discarding 24 places :
Symmetric choice reduction at 0 with 24 rule applications. Total rules 76 place count 54 transition count 108
Iterating global reduction 0 with 24 rules applied. Total rules applied 100 place count 54 transition count 108
Discarding 2 places :
Symmetric choice reduction at 0 with 2 rule applications. Total rules 102 place count 52 transition count 92
Iterating global reduction 0 with 2 rules applied. Total rules applied 104 place count 52 transition count 92
Applied a total of 104 rules in 8 ms. Remains 52 /104 variables (removed 52) and now considering 92/592 (removed 500) transitions.
// Phase 1: matrix 92 rows 52 cols
[2024-05-28 03:19:23] [INFO ] Computed 16 invariants in 2 ms
[2024-05-28 03:19:23] [INFO ] Implicit Places using invariants in 159 ms returned [0, 5, 19, 26]
Discarding 4 places :
Implicit Place search using SMT only with invariants took 162 ms to find 4 implicit places.
Starting structural reductions in LTL mode, iteration 1 : 48/104 places, 92/592 transitions.
Applied a total of 0 rules in 1 ms. Remains 48 /48 variables (removed 0) and now considering 92/92 (removed 0) transitions.
Finished structural reductions in LTL mode , in 2 iterations and 171 ms. Remains : 48/104 places, 92/592 transitions.
Stuttering acceptance computed with spot in 248 ms :[(OR (NOT p0) (AND (NOT p1) (NOT p2))), (OR (NOT p0) (AND (NOT p1) (NOT p2))), true, (AND (NOT p0) (NOT p1) (NOT p2)), (AND (NOT p1) (NOT p2)), (AND (NOT p1) (NOT p2))]
Running random walk in product with property : PermAdmissibility-PT-10-LTLFireability-05 automaton TGBA Formula[mat=[[{ cond=true, acceptance={} source=0 dest: 1}], [{ cond=p0, acceptance={} source=1 dest: 1}, { cond=(NOT p0), acceptance={} source=1 dest: 2}, { cond=(AND p0 (NOT p1) (NOT p2)), acceptance={} source=1 dest: 3}, { cond=(AND p0 (NOT p1) (NOT p2)), acceptance={} source=1 dest: 4}], [{ cond=true, acceptance={0, 1} source=2 dest: 2}], [{ cond=(AND p0 p1 (NOT p2)), acceptance={} source=3 dest: 3}, { cond=(AND p0 (NOT p1) (NOT p2)), acceptance={1} source=3 dest: 3}, { cond=(AND (NOT p0) p1 (NOT p2)), acceptance={0} source=3 dest: 5}, { cond=(AND (NOT p0) (NOT p1) (NOT p2)), acceptance={0, 1} source=3 dest: 5}], [{ cond=(AND p0 (NOT p1) (NOT p2)), acceptance={1} source=4 dest: 3}, { cond=(AND p0 (NOT p1) (NOT p2)), acceptance={0, 1} source=4 dest: 4}, { cond=(AND (NOT p0) (NOT p1) (NOT p2)), acceptance={0, 1} source=4 dest: 5}], [{ cond=(AND p0 (NOT p1) (NOT p2)), acceptance={1} source=5 dest: 3}, { cond=(AND p0 (NOT p1) (NOT p2)), acceptance={0, 1} source=5 dest: 4}, { cond=(OR (AND p0 (NOT p2)) (AND p1 (NOT p2))), acceptance={0} source=5 dest: 5}, { cond=(AND (NOT p0) (NOT p1) (NOT p2)), acceptance={0, 1} source=5 dest: 5}]], initial=0, aps=[p0:(OR (AND (GEQ s14 1) (GEQ s15 1) (GEQ s20 1)) (AND (GEQ s11 1) (GEQ s16 1) (GEQ s20 1)) (AND (GEQ s12 1) (GEQ s13 1) (GEQ s20 1)) (AND (GEQ s12 1) (GEQ...], nbAcceptance=2, properties=[trans-labels, explicit-labels, trans-acc, 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 1 steps with 0 reset in 0 ms.
FORMULA PermAdmissibility-PT-10-LTLFireability-05 FALSE TECHNIQUES STUTTER_TEST
Treatment of property PermAdmissibility-PT-10-LTLFireability-05 finished in 448 ms.
Running Spot : '/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.ltl.spot.binaries_1.0.0.202304061127/bin/ltl2tgba-linux64' '--check=stutter' '--hoaf=tv' '-f' '!((F(p0) U (G((F(!p2)&&F(G(!p3))))||p1)))'
Support contains 43 out of 104 places. Attempting structural reductions.
Starting structural reductions in SI_LTL mode, iteration 0 : 104/104 places, 592/592 transitions.
Graph (complete) has 975 edges and 104 vertex of which 86 are kept as prefixes of interest. Removing 18 places using SCC suffix rule.3 ms
Discarding 18 places :
Also discarding 128 output transitions
Drop transitions removed 128 transitions
Applied a total of 1 rules in 40 ms. Remains 86 /104 variables (removed 18) and now considering 464/592 (removed 128) transitions.
// Phase 1: matrix 464 rows 86 cols
[2024-05-28 03:19:24] [INFO ] Computed 14 invariants in 3 ms
[2024-05-28 03:19:24] [INFO ] Implicit Places using invariants in 104 ms returned []
[2024-05-28 03:19:24] [INFO ] Invariant cache hit.
[2024-05-28 03:19:24] [INFO ] Implicit Places using invariants and state equation in 271 ms returned []
Implicit Place search using SMT with State Equation took 384 ms to find 0 implicit places.
[2024-05-28 03:19:24] [INFO ] Redundant transitions in 34 ms returned []
[2024-05-28 03:19:24] [INFO ] Invariant cache hit.
[2024-05-28 03:19:24] [INFO ] Dead Transitions using invariants and state equation in 320 ms found 0 transitions.
Starting structural reductions in SI_LTL mode, iteration 1 : 86/104 places, 464/592 transitions.
Finished structural reductions in SI_LTL mode , in 1 iterations and 786 ms. Remains : 86/104 places, 464/592 transitions.
Stuttering acceptance computed with spot in 268 ms :[(OR (AND (NOT p1) p2) (AND (NOT p1) p3)), (AND p3 (NOT p0)), (AND (NOT p1) p3), (OR (AND (NOT p0) p3) (AND (NOT p0) p2)), (AND (NOT p0) p2), (AND (NOT p1) p2)]
Running random walk in product with property : PermAdmissibility-PT-10-LTLFireability-07 automaton TGBA Formula[mat=[[{ cond=(NOT p1), acceptance={} source=0 dest: 0}, { cond=(AND (NOT p1) p3 (NOT p0)), acceptance={} source=0 dest: 1}, { cond=(AND (NOT p1) p3), acceptance={} source=0 dest: 2}, { cond=(AND (NOT p1) (NOT p0)), acceptance={} source=0 dest: 3}, { cond=(AND (NOT p1) p2 (NOT p0)), acceptance={} source=0 dest: 4}, { cond=(AND (NOT p1) p2), acceptance={} source=0 dest: 5}], [{ cond=(AND (NOT p3) (NOT p0)), acceptance={} source=1 dest: 1}, { cond=(AND p3 (NOT p0)), acceptance={0} source=1 dest: 1}], [{ cond=(AND (NOT p1) (NOT p0)), acceptance={} source=2 dest: 1}, { cond=(AND (NOT p1) (NOT p3)), acceptance={} source=2 dest: 2}, { cond=(AND (NOT p1) p3), acceptance={0} source=2 dest: 2}], [{ cond=(AND p3 (NOT p0)), acceptance={} source=3 dest: 1}, { cond=(NOT p0), acceptance={} source=3 dest: 3}, { cond=(AND p2 (NOT p0)), acceptance={} source=3 dest: 4}], [{ cond=(AND p2 (NOT p0)), acceptance={0} source=4 dest: 4}], [{ cond=(AND (NOT p1) p2 (NOT p0)), acceptance={} source=5 dest: 4}, { cond=(AND (NOT p1) p2), acceptance={0} source=5 dest: 5}]], initial=0, aps=[p1:(OR (AND (GEQ s5 1) (GEQ s12 1) (GEQ s13 1)) (AND (GEQ s1 1) (GEQ s11 1) (GEQ s12 1)) (AND (GEQ s4 1) (GEQ s9 1) (GEQ s12 1)) (AND (GEQ s10 1) (GEQ s12...], nbAcceptance=1, properties=[trans-labels, explicit-labels, trans-acc, no-univ-branch, stutter-invariant], stateDesc=[null, null, null, null, null, null][true, true, true, true, true, true]]
Product exploration explored 100000 steps with 2042 reset in 1478 ms.
Product exploration explored 100000 steps with 2031 reset in 1431 ms.
Computed a total of 86 stabilizing places and 464 stable transitions
Complete graph has no SCC; deadlocks are unavoidable. place count 86 transition count 464
Detected that all paths lead to deadlock. Applying this knowledge to assert that all AP eventually converge (and all enablings converge to false).
Detected that all paths lead to deadlock. Applying this knowledge to assert that all AP eventually converge : F ( (Ga|G!a) & (Gb|G!b)...)
Knowledge obtained : [(AND (NOT p1) (NOT p3) (NOT p0) (NOT p2)), (X (NOT (AND p3 (NOT p0)))), (X (AND (NOT p1) (NOT p0))), (X (NOT (AND (NOT p1) p3 (NOT p0)))), (X (NOT (AND p2 (NOT p0)))), (X (NOT (AND (NOT p1) p2 (NOT p0)))), (X (NOT p1)), (X (NOT (AND (NOT p1) p2))), (X (AND (NOT p1) (NOT p3))), (X (AND (NOT p3) (NOT p0))), (X (NOT p0)), (X (NOT (AND (NOT p1) p3))), (X (X (NOT (AND p3 (NOT p0))))), (X (X (AND (NOT p1) (NOT p0)))), (X (X (NOT (AND (NOT p1) p3 (NOT p0))))), (X (X (NOT (AND p2 (NOT p0))))), (X (X (NOT (AND (NOT p1) p2 (NOT p0))))), (X (X (NOT p1))), (X (X (NOT (AND (NOT p1) p2)))), (X (X (AND (NOT p1) (NOT p3)))), (X (X (AND (NOT p3) (NOT p0)))), (X (X (NOT p0))), (X (X (NOT (AND (NOT p1) p3)))), (F (G (NOT p1))), (F (G (NOT p3))), (F (G (NOT p0))), (F (G (NOT p2)))]
False Knowledge obtained : []
Property proved to be true thanks to knowledge (Minato strategy)
Knowledge based reduction with 27 factoid took 22 ms. Reduced automaton from 6 states, 17 edges and 4 AP (stutter insensitive) to 1 states, 0 edges and 0 AP (stutter insensitive).
FORMULA PermAdmissibility-PT-10-LTLFireability-07 TRUE TECHNIQUES KNOWLEDGE
Treatment of property PermAdmissibility-PT-10-LTLFireability-07 finished in 4141 ms.
Running Spot : '/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.ltl.spot.binaries_1.0.0.202304061127/bin/ltl2tgba-linux64' '--check=stutter' '--hoaf=tv' '-f' '!(X(X(G(p0))))'
Support contains 3 out of 104 places. Attempting structural reductions.
Starting structural reductions in LTL mode, iteration 0 : 104/104 places, 592/592 transitions.
Discarding 26 places :
Symmetric choice reduction at 0 with 26 rule applications. Total rules 26 place count 78 transition count 344
Iterating global reduction 0 with 26 rules applied. Total rules applied 52 place count 78 transition count 344
Discarding 24 places :
Symmetric choice reduction at 0 with 24 rule applications. Total rules 76 place count 54 transition count 108
Iterating global reduction 0 with 24 rules applied. Total rules applied 100 place count 54 transition count 108
Discarding 3 places :
Symmetric choice reduction at 0 with 3 rule applications. Total rules 103 place count 51 transition count 84
Iterating global reduction 0 with 3 rules applied. Total rules applied 106 place count 51 transition count 84
Applied a total of 106 rules in 8 ms. Remains 51 /104 variables (removed 53) and now considering 84/592 (removed 508) transitions.
// Phase 1: matrix 84 rows 51 cols
[2024-05-28 03:19:28] [INFO ] Computed 16 invariants in 1 ms
[2024-05-28 03:19:28] [INFO ] Implicit Places using invariants in 74 ms returned [0, 5, 18, 25]
Discarding 4 places :
Implicit Place search using SMT only with invariants took 75 ms to find 4 implicit places.
Starting structural reductions in LTL mode, iteration 1 : 47/104 places, 84/592 transitions.
Applied a total of 0 rules in 0 ms. Remains 47 /47 variables (removed 0) and now considering 84/84 (removed 0) transitions.
Finished structural reductions in LTL mode , in 2 iterations and 84 ms. Remains : 47/104 places, 84/592 transitions.
Stuttering acceptance computed with spot in 123 ms :[true, (NOT p0), (NOT p0), (NOT p0)]
Running random walk in product with property : PermAdmissibility-PT-10-LTLFireability-08 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:(AND (GEQ s31 1) (GEQ s33 1) (GEQ s42 1))], 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 PermAdmissibility-PT-10-LTLFireability-08 FALSE TECHNIQUES STUTTER_TEST
Treatment of property PermAdmissibility-PT-10-LTLFireability-08 finished in 224 ms.
Running Spot : '/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.ltl.spot.binaries_1.0.0.202304061127/bin/ltl2tgba-linux64' '--check=stutter' '--hoaf=tv' '-f' '!(X(((p1 U X(p2))||p0)))'
Support contains 9 out of 104 places. Attempting structural reductions.
Starting structural reductions in LTL mode, iteration 0 : 104/104 places, 592/592 transitions.
Discarding 26 places :
Symmetric choice reduction at 0 with 26 rule applications. Total rules 26 place count 78 transition count 344
Iterating global reduction 0 with 26 rules applied. Total rules applied 52 place count 78 transition count 344
Discarding 20 places :
Symmetric choice reduction at 0 with 20 rule applications. Total rules 72 place count 58 transition count 128
Iterating global reduction 0 with 20 rules applied. Total rules applied 92 place count 58 transition count 128
Discarding 1 places :
Symmetric choice reduction at 0 with 1 rule applications. Total rules 93 place count 57 transition count 120
Iterating global reduction 0 with 1 rules applied. Total rules applied 94 place count 57 transition count 120
Applied a total of 94 rules in 9 ms. Remains 57 /104 variables (removed 47) and now considering 120/592 (removed 472) transitions.
// Phase 1: matrix 120 rows 57 cols
[2024-05-28 03:19:28] [INFO ] Computed 16 invariants in 1 ms
[2024-05-28 03:19:28] [INFO ] Implicit Places using invariants in 110 ms returned [0, 5]
Discarding 2 places :
Implicit Place search using SMT only with invariants took 112 ms to find 2 implicit places.
Starting structural reductions in LTL mode, iteration 1 : 55/104 places, 120/592 transitions.
Applied a total of 0 rules in 1 ms. Remains 55 /55 variables (removed 0) and now considering 120/120 (removed 0) transitions.
Finished structural reductions in LTL mode , in 2 iterations and 123 ms. Remains : 55/104 places, 120/592 transitions.
Stuttering acceptance computed with spot in 174 ms :[(AND (NOT p0) (NOT p2)), true, (AND (NOT p0) (NOT p2)), (NOT p2), (NOT p2)]
Running random walk in product with property : PermAdmissibility-PT-10-LTLFireability-09 automaton TGBA Formula[mat=[[{ cond=(AND (NOT p0) p1), acceptance={} source=0 dest: 3}, { cond=(AND (NOT p0) (NOT p1)), acceptance={} source=0 dest: 4}], [{ cond=true, acceptance={0} source=1 dest: 1}], [{ cond=true, acceptance={} source=2 dest: 0}], [{ cond=(AND p1 (NOT p2)), acceptance={0} source=3 dest: 3}, { cond=(AND (NOT p1) (NOT p2)), acceptance={0} source=3 dest: 4}], [{ cond=(NOT p2), acceptance={} source=4 dest: 1}]], initial=2, aps=[p0:(OR (LT s18 1) (LT s21 1) (LT s36 1) (LT s17 1) (LT s25 1) (LT s44 1)), p1:(OR (AND (GEQ s24 1) (GEQ s26 1) (GEQ s31 1)) (NOT (AND (GEQ s17 1) (GEQ s25...], 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 50000 reset in 149 ms.
Product exploration explored 100000 steps with 50000 reset in 169 ms.
Computed a total of 55 stabilizing places and 120 stable transitions
Complete graph has no SCC; deadlocks are unavoidable. place count 55 transition count 120
Detected that all paths lead to deadlock. Applying this knowledge to assert that all AP eventually converge (and all enablings converge to false).
Detected that all paths lead to deadlock. Applying this knowledge to assert that all AP eventually converge : F ( (Ga|G!a) & (Gb|G!b)...)
Knowledge obtained : [(AND p0 p1 (NOT p2)), (X (NOT (AND (NOT p0) (NOT p1)))), (X (NOT (AND (NOT p0) p1))), (X (X (AND p1 (NOT p2)))), (X (X (NOT (AND (NOT p1) (NOT p2))))), (X (X (NOT p2))), (F (G p0)), (F (G p1)), (F (G (NOT p2)))]
False Knowledge obtained : []
Property proved to be true thanks to knowledge (Minato strategy)
Knowledge based reduction with 9 factoid took 17 ms. Reduced automaton from 5 states, 7 edges and 3 AP (stutter sensitive) to 1 states, 0 edges and 0 AP (stutter insensitive).
FORMULA PermAdmissibility-PT-10-LTLFireability-09 TRUE TECHNIQUES KNOWLEDGE
Treatment of property PermAdmissibility-PT-10-LTLFireability-09 finished in 701 ms.
Running Spot : '/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.ltl.spot.binaries_1.0.0.202304061127/bin/ltl2tgba-linux64' '--check=stutter' '--hoaf=tv' '-f' '!(X((p0&&G((G(p2)||p1)))))'
Support contains 8 out of 104 places. Attempting structural reductions.
Starting structural reductions in LTL mode, iteration 0 : 104/104 places, 592/592 transitions.
Discarding 26 places :
Symmetric choice reduction at 0 with 26 rule applications. Total rules 26 place count 78 transition count 344
Iterating global reduction 0 with 26 rules applied. Total rules applied 52 place count 78 transition count 344
Discarding 22 places :
Symmetric choice reduction at 0 with 22 rule applications. Total rules 74 place count 56 transition count 114
Iterating global reduction 0 with 22 rules applied. Total rules applied 96 place count 56 transition count 114
Discarding 1 places :
Symmetric choice reduction at 0 with 1 rule applications. Total rules 97 place count 55 transition count 106
Iterating global reduction 0 with 1 rules applied. Total rules applied 98 place count 55 transition count 106
Applied a total of 98 rules in 8 ms. Remains 55 /104 variables (removed 49) and now considering 106/592 (removed 486) transitions.
// Phase 1: matrix 106 rows 55 cols
[2024-05-28 03:19:29] [INFO ] Computed 16 invariants in 1 ms
[2024-05-28 03:19:29] [INFO ] Implicit Places using invariants in 73 ms returned [0, 5]
Discarding 2 places :
Implicit Place search using SMT only with invariants took 74 ms to find 2 implicit places.
Starting structural reductions in LTL mode, iteration 1 : 53/104 places, 106/592 transitions.
Applied a total of 0 rules in 1 ms. Remains 53 /53 variables (removed 0) and now considering 106/106 (removed 0) transitions.
Finished structural reductions in LTL mode , in 2 iterations and 85 ms. Remains : 53/104 places, 106/592 transitions.
Stuttering acceptance computed with spot in 183 ms :[true, (OR (NOT p0) (AND (NOT p1) (NOT p2))), (NOT p2), (AND (NOT p2) (NOT p1)), (OR (NOT p0) (AND (NOT p1) (NOT p2)))]
Running random walk in product with property : PermAdmissibility-PT-10-LTLFireability-10 automaton TGBA Formula[mat=[[{ cond=true, acceptance={0} source=0 dest: 0}], [{ cond=true, acceptance={} source=1 dest: 4}], [{ cond=(NOT p2), acceptance={} source=2 dest: 0}, { cond=p2, acceptance={} source=2 dest: 2}], [{ cond=(AND (NOT p1) (NOT p2)), acceptance={} source=3 dest: 0}, { cond=(AND (NOT p1) p2), acceptance={} source=3 dest: 2}, { cond=p1, acceptance={} source=3 dest: 3}], [{ cond=(OR (NOT p0) (AND (NOT p1) (NOT p2))), acceptance={} source=4 dest: 0}, { cond=(AND p0 (NOT p1) p2), acceptance={} source=4 dest: 2}, { cond=(AND p0 p1), acceptance={} source=4 dest: 3}]], initial=1, aps=[p2:(OR (LT s22 1) (LT s31 1) (LT s40 1)), p1:(OR (LT s30 1) (LT s33 1) (LT s40 1)), p0:(OR (LT s17 1) (LT s26 1) (LT s42 1))], 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, null][false, false, false, false, false]]
Entered a terminal (fully accepting) state of product in 27 steps with 0 reset in 0 ms.
FORMULA PermAdmissibility-PT-10-LTLFireability-10 FALSE TECHNIQUES STUTTER_TEST
Treatment of property PermAdmissibility-PT-10-LTLFireability-10 finished in 286 ms.
Running Spot : '/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.ltl.spot.binaries_1.0.0.202304061127/bin/ltl2tgba-linux64' '--check=stutter' '--hoaf=tv' '-f' '!(((!p0&&F(p0)) U p0))'
Support contains 3 out of 104 places. Attempting structural reductions.
Starting structural reductions in SI_LTL mode, iteration 0 : 104/104 places, 592/592 transitions.
Discarding 24 places :
Symmetric choice reduction at 0 with 24 rule applications. Total rules 24 place count 80 transition count 352
Iterating global reduction 0 with 24 rules applied. Total rules applied 48 place count 80 transition count 352
Discarding 20 places :
Symmetric choice reduction at 0 with 20 rule applications. Total rules 68 place count 60 transition count 136
Iterating global reduction 0 with 20 rules applied. Total rules applied 88 place count 60 transition count 136
Discarding 2 places :
Symmetric choice reduction at 0 with 2 rule applications. Total rules 90 place count 58 transition count 120
Iterating global reduction 0 with 2 rules applied. Total rules applied 92 place count 58 transition count 120
Applied a total of 92 rules in 23 ms. Remains 58 /104 variables (removed 46) and now considering 120/592 (removed 472) transitions.
// Phase 1: matrix 120 rows 58 cols
[2024-05-28 03:19:29] [INFO ] Computed 16 invariants in 1 ms
[2024-05-28 03:19:29] [INFO ] Implicit Places using invariants in 99 ms returned [7]
Discarding 1 places :
Implicit Place search using SMT only with invariants took 100 ms to find 1 implicit places.
Starting structural reductions in SI_LTL mode, iteration 1 : 57/104 places, 120/592 transitions.
Applied a total of 0 rules in 4 ms. Remains 57 /57 variables (removed 0) and now considering 120/120 (removed 0) transitions.
Finished structural reductions in SI_LTL mode , in 2 iterations and 130 ms. Remains : 57/104 places, 120/592 transitions.
Stuttering acceptance computed with spot in 43 ms :[(NOT p0)]
Running random walk in product with property : PermAdmissibility-PT-10-LTLFireability-11 automaton TGBA Formula[mat=[[{ cond=(NOT p0), acceptance={0} source=0 dest: 0}]], initial=0, aps=[p0:(AND (GEQ s1 1) (GEQ s3 1) (GEQ s4 1))], 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]]
Stuttering criterion allowed to conclude after 343 steps with 2 reset in 2 ms.
FORMULA PermAdmissibility-PT-10-LTLFireability-11 FALSE TECHNIQUES STUTTER_TEST
Treatment of property PermAdmissibility-PT-10-LTLFireability-11 finished in 189 ms.
Running Spot : '/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.ltl.spot.binaries_1.0.0.202304061127/bin/ltl2tgba-linux64' '--check=stutter' '--hoaf=tv' '-f' '!(F((G(p0)||G(p1))))'
Support contains 6 out of 104 places. Attempting structural reductions.
Starting structural reductions in SI_LTL mode, iteration 0 : 104/104 places, 592/592 transitions.
Graph (complete) has 975 edges and 104 vertex of which 32 are kept as prefixes of interest. Removing 72 places using SCC suffix rule.2 ms
Discarding 72 places :
Also discarding 512 output transitions
Drop transitions removed 512 transitions
Discarding 5 places :
Symmetric choice reduction at 0 with 5 rule applications. Total rules 6 place count 27 transition count 46
Iterating global reduction 0 with 5 rules applied. Total rules applied 11 place count 27 transition count 46
Applied a total of 11 rules in 6 ms. Remains 27 /104 variables (removed 77) and now considering 46/592 (removed 546) transitions.
// Phase 1: matrix 46 rows 27 cols
[2024-05-28 03:19:29] [INFO ] Computed 8 invariants in 1 ms
[2024-05-28 03:19:29] [INFO ] Implicit Places using invariants in 47 ms returned []
[2024-05-28 03:19:29] [INFO ] Invariant cache hit.
[2024-05-28 03:19:29] [INFO ] Implicit Places using invariants and state equation in 65 ms returned []
Implicit Place search using SMT with State Equation took 114 ms to find 0 implicit places.
[2024-05-28 03:19:29] [INFO ] Redundant transitions in 0 ms returned []
[2024-05-28 03:19:29] [INFO ] Invariant cache hit.
[2024-05-28 03:19:29] [INFO ] Dead Transitions using invariants and state equation in 53 ms found 0 transitions.
Starting structural reductions in SI_LTL mode, iteration 1 : 27/104 places, 46/592 transitions.
Finished structural reductions in SI_LTL mode , in 1 iterations and 188 ms. Remains : 27/104 places, 46/592 transitions.
Stuttering acceptance computed with spot in 38 ms :[(AND (NOT p0) (NOT p1))]
Running random walk in product with property : PermAdmissibility-PT-10-LTLFireability-13 automaton TGBA Formula[mat=[[{ cond=(AND p0 p1), acceptance={} source=0 dest: 0}, { cond=(AND (NOT p0) p1), acceptance={0} source=0 dest: 0}, { cond=(AND p0 (NOT p1)), acceptance={1} source=0 dest: 0}, { cond=(AND (NOT p0) (NOT p1)), acceptance={0, 1} source=0 dest: 0}]], initial=0, aps=[p0:(AND (GEQ s1 1) (GEQ s2 1) (GEQ s4 1)), p1:(AND (GEQ s9 1) (GEQ s10 1) (GEQ s11 1))], nbAcceptance=2, properties=[trans-labels, explicit-labels, trans-acc, complete, deterministic, no-univ-branch, unambiguous, semi-deterministic, stutter-invariant], stateDesc=[null][true]]
Stuttering criterion allowed to conclude after 80 steps with 0 reset in 1 ms.
FORMULA PermAdmissibility-PT-10-LTLFireability-13 FALSE TECHNIQUES STUTTER_TEST
Treatment of property PermAdmissibility-PT-10-LTLFireability-13 finished in 242 ms.
Running Spot : '/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.ltl.spot.binaries_1.0.0.202304061127/bin/ltl2tgba-linux64' '--check=stutter' '--hoaf=tv' '-f' '!(G(F(p0)))'
Support contains 3 out of 104 places. Attempting structural reductions.
Starting structural reductions in SI_LTL mode, iteration 0 : 104/104 places, 592/592 transitions.
Graph (complete) has 975 edges and 104 vertex of which 6 are kept as prefixes of interest. Removing 98 places using SCC suffix rule.3 ms
Discarding 98 places :
Also discarding 584 output transitions
Drop transitions removed 584 transitions
Applied a total of 1 rules in 4 ms. Remains 6 /104 variables (removed 98) and now considering 8/592 (removed 584) transitions.
// Phase 1: matrix 8 rows 6 cols
[2024-05-28 03:19:29] [INFO ] Computed 2 invariants in 0 ms
[2024-05-28 03:19:29] [INFO ] Implicit Places using invariants in 23 ms returned []
[2024-05-28 03:19:29] [INFO ] Invariant cache hit.
[2024-05-28 03:19:29] [INFO ] Implicit Places using invariants and state equation in 25 ms returned []
Implicit Place search using SMT with State Equation took 50 ms to find 0 implicit places.
[2024-05-28 03:19:29] [INFO ] Redundant transitions in 0 ms returned []
[2024-05-28 03:19:29] [INFO ] Invariant cache hit.
[2024-05-28 03:19:29] [INFO ] Dead Transitions using invariants and state equation in 23 ms found 0 transitions.
Starting structural reductions in SI_LTL mode, iteration 1 : 6/104 places, 8/592 transitions.
Finished structural reductions in SI_LTL mode , in 1 iterations and 84 ms. Remains : 6/104 places, 8/592 transitions.
Stuttering acceptance computed with spot in 137 ms :[(NOT p0), (NOT p0)]
Running random walk in product with property : PermAdmissibility-PT-10-LTLFireability-14 automaton TGBA Formula[mat=[[{ cond=true, acceptance={} source=0 dest: 0}, { cond=(NOT p0), acceptance={} source=0 dest: 1}], [{ cond=(NOT p0), acceptance={0} source=1 dest: 1}]], initial=0, aps=[p0:(AND (GEQ s0 1) (GEQ s3 1) (GEQ s5 1))], nbAcceptance=1, properties=[trans-labels, explicit-labels, trans-acc, no-univ-branch, stutter-invariant, very-weak, weak, inherently-weak], stateDesc=[null, null][true, true]]
Stuttering criterion allowed to conclude after 36 steps with 4 reset in 0 ms.
FORMULA PermAdmissibility-PT-10-LTLFireability-14 FALSE TECHNIQUES STUTTER_TEST
Treatment of property PermAdmissibility-PT-10-LTLFireability-14 finished in 234 ms.
Running Spot : '/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.ltl.spot.binaries_1.0.0.202304061127/bin/ltl2tgba-linux64' '--check=stutter' '--hoaf=tv' '-f' '!(X((p0 U X(G(!p1)))))'
Support contains 6 out of 104 places. Attempting structural reductions.
Starting structural reductions in LTL mode, iteration 0 : 104/104 places, 592/592 transitions.
Discarding 26 places :
Symmetric choice reduction at 0 with 26 rule applications. Total rules 26 place count 78 transition count 344
Iterating global reduction 0 with 26 rules applied. Total rules applied 52 place count 78 transition count 344
Discarding 22 places :
Symmetric choice reduction at 0 with 22 rule applications. Total rules 74 place count 56 transition count 122
Iterating global reduction 0 with 22 rules applied. Total rules applied 96 place count 56 transition count 122
Discarding 1 places :
Symmetric choice reduction at 0 with 1 rule applications. Total rules 97 place count 55 transition count 114
Iterating global reduction 0 with 1 rules applied. Total rules applied 98 place count 55 transition count 114
Applied a total of 98 rules in 6 ms. Remains 55 /104 variables (removed 49) and now considering 114/592 (removed 478) transitions.
// Phase 1: matrix 114 rows 55 cols
[2024-05-28 03:19:30] [INFO ] Computed 16 invariants in 1 ms
[2024-05-28 03:19:30] [INFO ] Implicit Places using invariants in 92 ms returned [0, 5, 19, 26]
Discarding 4 places :
Implicit Place search using SMT only with invariants took 93 ms to find 4 implicit places.
Starting structural reductions in LTL mode, iteration 1 : 51/104 places, 114/592 transitions.
Applied a total of 0 rules in 1 ms. Remains 51 /51 variables (removed 0) and now considering 114/114 (removed 0) transitions.
Finished structural reductions in LTL mode , in 2 iterations and 100 ms. Remains : 51/104 places, 114/592 transitions.
Stuttering acceptance computed with spot in 127 ms :[p1, p1, p1, true]
Running random walk in product with property : PermAdmissibility-PT-10-LTLFireability-15 automaton TGBA Formula[mat=[[{ cond=true, acceptance={} source=0 dest: 2}], [{ cond=(NOT p1), acceptance={} source=1 dest: 1}, { cond=p1, acceptance={} source=1 dest: 3}], [{ cond=(NOT p0), acceptance={} source=2 dest: 1}, { cond=(AND p0 (NOT p1)), acceptance={} source=2 dest: 2}, { cond=(AND p0 p1), acceptance={0} source=2 dest: 2}], [{ cond=true, acceptance={0} source=3 dest: 3}]], initial=0, aps=[p1:(AND (GEQ s23 1) (GEQ s27 1) (GEQ s30 1)), p0:(AND (GEQ s17 1) (GEQ s25 1) (GEQ s32 1))], nbAcceptance=1, properties=[trans-labels, explicit-labels, trans-acc, complete, deterministic, no-univ-branch, unambiguous, semi-deterministic, stutter-sensitive], stateDesc=[null, null, null, null][false, false, false, false]]
Entered a terminal (fully accepting) state of product in 50 steps with 0 reset in 0 ms.
FORMULA PermAdmissibility-PT-10-LTLFireability-15 FALSE TECHNIQUES STUTTER_TEST
Treatment of property PermAdmissibility-PT-10-LTLFireability-15 finished in 244 ms.
Running Spot : '/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.ltl.spot.binaries_1.0.0.202304061127/bin/ltl2tgba-linux64' '--check=stutter' '--hoaf=tv' '-f' '!(F(p0))'
[2024-05-28 03:19:30] [INFO ] Flatten gal took : 55 ms
Using solver Z3 to compute partial order matrices.
Built C files in :
/tmp/ltsmin7073741297546510399
[2024-05-28 03:19:30] [INFO ] Applying decomposition
[2024-05-28 03:19:30] [INFO ] Computing symmetric may disable matrix : 592 transitions.
[2024-05-28 03:19:30] [INFO ] Computation of Complete disable matrix. took 26 ms. Total solver calls (SAT/UNSAT): 0(0/0)
[2024-05-28 03:19:30] [INFO ] Computing symmetric may enable matrix : 592 transitions.
[2024-05-28 03:19:30] [INFO ] Flatten gal took : 54 ms
[2024-05-28 03:19:30] [INFO ] Computation of Complete enable matrix. took 14 ms. Total solver calls (SAT/UNSAT): 0(0/0)
Converted graph to binary with : '/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.move.gal.louvain.binaries_1.0.0.202304061127/bin/convert-linux64' '-i' '/tmp/graph13755911548802454504.txt' '-o' '/tmp/graph13755911548802454504.bin' '-w' '/tmp/graph13755911548802454504.weights'
Built communities with : '/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.move.gal.louvain.binaries_1.0.0.202304061127/bin/louvain-linux64' '/tmp/graph13755911548802454504.bin' '-l' '-1' '-v' '-w' '/tmp/graph13755911548802454504.weights' '-q' '0' '-e' '0.001'
[2024-05-28 03:19:30] [INFO ] Decomposing Gal with order
[2024-05-28 03:19:30] [INFO ] Rewriting arrays to variables to allow decomposition.
[2024-05-28 03:19:30] [INFO ] Computing Do-Not-Accords matrix : 592 transitions.
[2024-05-28 03:19:30] [INFO ] Computation of Completed DNA matrix. took 37 ms. Total solver calls (SAT/UNSAT): 0(0/0)
[2024-05-28 03:19:30] [INFO ] Built C files in 248ms conformant to PINS (ltsmin variant)in folder :/tmp/ltsmin7073741297546510399
Running compilation step : cd /tmp/ltsmin7073741297546510399;'/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.move.gal.ltsmin.binaries_1.0.0.202304061127/bin/limit_time.pl' '720' 'gcc' '-c' '-I/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.move.gal.ltsmin.binaries_1.0.0.202304061127/bin/include/' '-I.' '-std=c99' '-fPIC' '-O0' 'model.c'
[2024-05-28 03:19:31] [INFO ] Removed a total of 598 redundant transitions.
[2024-05-28 03:19:31] [INFO ] Flatten gal took : 169 ms
[2024-05-28 03:19:31] [INFO ] Fuse similar labels procedure discarded/fused a total of 204 labels/synchronizations in 29 ms.
[2024-05-28 03:19:31] [INFO ] Time to serialize gal into /tmp/LTLFireability18270663572980530871.gal : 9 ms
[2024-05-28 03:19:31] [INFO ] Time to serialize properties into /tmp/LTLFireability12972830408719947406.ltl : 1 ms
Invoking ITS tools like this :cd /home/mcc/execution;'/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202304061127/bin/its-ltl-linux64' '--gc-threshold' '2000000' '-i' '/tmp/LTLFireability18270663572980530871.gal' '-t' 'CGAL' '-LTL' '/tmp/LTLFireability12972830408719947406.ltl' '-c' '-stutter-deadlock'
its-ltl command run as :
/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202304061127/bin/its-ltl-linux64 --gc-threshold 2000000 -i /tmp/L...278
Read 1 LTL properties
Checking formula 0 : !((F("(((((((i2.u2.c12>=1)&&(i2.u4.aux6_5>=1))&&(i2.u2.aux8_2>=1))||(((i2.u2.c12>=1)&&(i2.u2.aux8_3>=1))&&(i2.u4.aux6_4>=1)))||((((i2....987
Formula 0 simplified : G!"(((((((i2.u2.c12>=1)&&(i2.u4.aux6_5>=1))&&(i2.u2.aux8_2>=1))||(((i2.u2.c12>=1)&&(i2.u2.aux8_3>=1))&&(i2.u4.aux6_4>=1)))||((((i2.u...983
Compilation finished in 2595 ms.
Running link step : cd /tmp/ltsmin7073741297546510399;'gcc' '-shared' '-o' 'gal.so' 'model.o'
Link finished in 46 ms.
Running LTSmin : cd /tmp/ltsmin7073741297546510399;'/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.move.gal.ltsmin.binaries_1.0.0.202304061127/bin/pins2lts-mc-linux64' './gal.so' '--threads=8' '-p' '--pins-guards' '--when' '--ltl' '<>((LTLAPp0==true))' '--buchi-type=spotba'
Detected timeout of ITS tools.
[2024-05-28 03:40:09] [INFO ] Flatten gal took : 106 ms
[2024-05-28 03:40:09] [INFO ] Time to serialize gal into /tmp/LTLFireability10340425905671759485.gal : 23 ms
[2024-05-28 03:40:09] [INFO ] Time to serialize properties into /tmp/LTLFireability1289485193709721658.ltl : 1 ms
Invoking ITS tools like this :cd /home/mcc/execution;'/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202304061127/bin/its-ltl-linux64' '--gc-threshold' '2000000' '-i' '/tmp/LTLFireability10340425905671759485.gal' '-t' 'CGAL' '-LTL' '/tmp/LTLFireability1289485193709721658.ltl' '-c' '-stutter-deadlock' '--gen-order' 'FOLLOW'
its-ltl command run as :
/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202304061127/bin/its-ltl-linux64 --gc-threshold 2000000 -i /tmp/L...298
Read 1 LTL properties
Checking formula 0 : !((F("(((((((c12>=1)&&(aux6_5>=1))&&(aux8_2>=1))||(((c12>=1)&&(aux8_3>=1))&&(aux6_4>=1)))||((((c12>=1)&&(aux8_3>=1))&&(aux6_1>=1))||((...699
Formula 0 simplified : G!"(((((((c12>=1)&&(aux6_5>=1))&&(aux8_2>=1))||(((c12>=1)&&(aux8_3>=1))&&(aux6_4>=1)))||((((c12>=1)&&(aux8_3>=1))&&(aux6_1>=1))||(((...695
Detected timeout of ITS tools.
[2024-05-28 04:00:47] [INFO ] Flatten gal took : 94 ms
[2024-05-28 04:00:47] [INFO ] Input system was already deterministic with 592 transitions.
[2024-05-28 04:00:47] [INFO ] Transformed 104 places.
[2024-05-28 04:00:47] [INFO ] Transformed 592 transitions.
Running greatSPN : cd /home/mcc/execution;'/home/mcc/BenchKit/bin//../itstools/bin//..//greatspn//bin/pinvar' '/home/mcc/execution/gspn'
Run of greatSPN captured in /home/mcc/execution/outPut.txt
Running greatSPN : cd /home/mcc/execution;'/home/mcc/BenchKit/bin//../itstools/bin//..//greatspn//bin/RGMEDD2' '/home/mcc/execution/gspn' '-META' '-varord-only'
Run of greatSPN captured in /home/mcc/execution/outPut.txt
Using order generated by GreatSPN with heuristic : META
[2024-05-28 04:00:48] [INFO ] Time to serialize gal into /tmp/LTLFireability11194685189925628500.gal : 21 ms
[2024-05-28 04:00:48] [INFO ] Time to serialize properties into /tmp/LTLFireability16524263941531005017.ltl : 1 ms
Invoking ITS tools like this :cd /home/mcc/execution;'/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202304061127/bin/its-ltl-linux64' '--gc-threshold' '2000000' '-i' '/tmp/LTLFireability11194685189925628500.gal' '-t' 'CGAL' '-LTL' '/tmp/LTLFireability16524263941531005017.ltl' '-c' '-stutter-deadlock' '--load-order' '/home/mcc/execution/model.ord' '--gen-order' 'FOLLOW'
its-ltl command run as :
/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202304061127/bin/its-ltl-linux64 --gc-threshold 2000000 -i /tmp/L...344
Read 1 LTL properties
Successfully loaded order from file /home/mcc/execution/model.ord
Checking formula 0 : !((F("(((((((c12>=1)&&(aux6_5>=1))&&(aux8_2>=1))||(((c12>=1)&&(aux8_3>=1))&&(aux6_4>=1)))||((((c12>=1)&&(aux8_3>=1))&&(aux6_1>=1))||((...699
Formula 0 simplified : G!"(((((((c12>=1)&&(aux6_5>=1))&&(aux8_2>=1))||(((c12>=1)&&(aux8_3>=1))&&(aux6_4>=1)))||((((c12>=1)&&(aux8_3>=1))&&(aux6_1>=1))||(((...695
pins2lts-mc-linux64, 0.000: Registering PINS so language module
pins2lts-mc-linux64( 3/ 8), 0.001: library has no initializer
pins2lts-mc-linux64( 3/ 8), 0.001: loading model GAL
pins2lts-mc-linux64( 6/ 8), 0.001: library has no initializer
pins2lts-mc-linux64( 6/ 8), 0.001: loading model GAL
pins2lts-mc-linux64( 2/ 8), 0.010: library has no initializer
pins2lts-mc-linux64( 2/ 8), 0.010: loading model GAL
pins2lts-mc-linux64( 4/ 8), 0.029: library has no initializer
pins2lts-mc-linux64( 5/ 8), 0.029: library has no initializer
pins2lts-mc-linux64( 5/ 8), 0.030: loading model GAL
pins2lts-mc-linux64( 0/ 8), 0.031: Loading model from ./gal.so
pins2lts-mc-linux64( 0/ 8), 0.031: library has no initializer
pins2lts-mc-linux64( 0/ 8), 0.031: loading model GAL
pins2lts-mc-linux64( 1/ 8), 0.037: library has no initializer
pins2lts-mc-linux64( 1/ 8), 0.037: loading model GAL
pins2lts-mc-linux64( 6/ 8), 0.040: completed loading model GAL
pins2lts-mc-linux64( 7/ 8), 0.039: library has no initializer
pins2lts-mc-linux64( 7/ 8), 0.039: loading model GAL
pins2lts-mc-linux64( 4/ 8), 0.029: loading model GAL
pins2lts-mc-linux64( 3/ 8), 0.084: completed loading model GAL
pins2lts-mc-linux64( 2/ 8), 0.101: completed loading model GAL
pins2lts-mc-linux64( 0/ 8), 0.115: completed loading model GAL
pins2lts-mc-linux64( 0/ 8), 0.115: Initializing POR dependencies: labels 593, guards 592
pins2lts-mc-linux64( 7/ 8), 0.129: completed loading model GAL
pins2lts-mc-linux64( 4/ 8), 0.136: completed loading model GAL
pins2lts-mc-linux64( 1/ 8), 0.136: completed loading model GAL
pins2lts-mc-linux64( 5/ 8), 0.141: completed loading model GAL
pins2lts-mc-linux64( 2/ 8), 2.296: LTL layer: formula: <>((LTLAPp0==true))
pins2lts-mc-linux64( 2/ 8), 2.296: "<>((LTLAPp0==true))" is not a file, parsing as formula...
pins2lts-mc-linux64( 2/ 8), 2.297: Using Spin LTL semantics
pins2lts-mc-linux64( 0/ 8), 2.437: Weak Buchi automaton detected, adding non-accepting as progress label.
pins2lts-mc-linux64( 0/ 8), 2.454: Forcing use of the an ignoring proviso (cndfs)
pins2lts-mc-linux64( 0/ 8), 2.484: There are 595 state labels and 1 edge labels
pins2lts-mc-linux64( 0/ 8), 2.484: State length is 105, there are 593 groups
pins2lts-mc-linux64( 0/ 8), 2.484: Running cndfs using 8 cores
pins2lts-mc-linux64( 0/ 8), 2.484: Using a tree table with 2^27 elements
pins2lts-mc-linux64( 0/ 8), 2.484: Successor permutation: dynamic
pins2lts-mc-linux64( 0/ 8), 2.484: Visible groups: 0 / 593, labels: 1 / 595
pins2lts-mc-linux64( 0/ 8), 2.484: POR cycle proviso: cndfs (ltl)
pins2lts-mc-linux64( 0/ 8), 2.484: Global bits: 2, count bits: 2, local bits: 0
pins2lts-mc-linux64( 0/ 8), 2.717: [Blue] ~46 levels ~960 states ~3664 transitions
pins2lts-mc-linux64( 6/ 8), 2.841: [Blue] ~62 levels ~1920 states ~6528 transitions
pins2lts-mc-linux64( 1/ 8), 3.045: [Blue] ~62 levels ~3840 states ~10096 transitions
pins2lts-mc-linux64( 1/ 8), 3.350: [Blue] ~62 levels ~7680 states ~21544 transitions
pins2lts-mc-linux64( 1/ 8), 3.976: [Blue] ~62 levels ~15360 states ~50120 transitions
pins2lts-mc-linux64( 4/ 8), 6.079: [Blue] ~62 levels ~30720 states ~40048 transitions
pins2lts-mc-linux64( 6/ 8), 9.855: [Blue] ~62 levels ~61440 states ~87640 transitions
pins2lts-mc-linux64( 4/ 8), 16.742: [Blue] ~62 levels ~122880 states ~158584 transitions
pins2lts-mc-linux64( 4/ 8), 31.002: [Blue] ~62 levels ~245760 states ~308024 transitions
pins2lts-mc-linux64( 4/ 8), 58.019: [Blue] ~62 levels ~491520 states ~601992 transitions
pins2lts-mc-linux64( 4/ 8), 116.874: [Blue] ~62 levels ~983040 states ~1194816 transitions
pins2lts-mc-linux64( 6/ 8), 241.870: [Blue] ~62 levels ~1966080 states ~3038936 transitions
pins2lts-mc-linux64( 4/ 8), 484.955: [Blue] ~62 levels ~3932160 states ~5107448 transitions
pins2lts-mc-linux64( 4/ 8), 979.678: [Blue] ~62 levels ~7864320 states ~10314840 transitions
pins2lts-mc-linux64( 6/ 8), 1964.560: [Blue] ~62 levels ~15728640 states ~27036192 transitions
pins2lts-mc-linux64( 5/ 8), 2815.545: Error: tree leafs table full! Change -s/--ratio.
pins2lts-mc-linux64( 0/ 8), 2816.399:
pins2lts-mc-linux64( 0/ 8), 2816.399: Explored 19925781 states 27842913 transitions, fanout: 1.397
pins2lts-mc-linux64( 0/ 8), 2816.399: Total exploration time 2813.900 sec (2813.070 sec minimum, 2813.471 sec on average)
pins2lts-mc-linux64( 0/ 8), 2816.399: States per second: 7081, Transitions per second: 9895
pins2lts-mc-linux64( 0/ 8), 2816.399:
pins2lts-mc-linux64( 0/ 8), 2816.399: State space has 19929169 states, 19925341 are accepting
pins2lts-mc-linux64( 0/ 8), 2816.399: cndfs_1 (permutation: dynamic) stats:
pins2lts-mc-linux64( 0/ 8), 2816.399: blue states: 19925781 (99.98%), transitions: 0 (per worker)
pins2lts-mc-linux64( 0/ 8), 2816.399: red states: 0 (0.00%), bogus: 0 (0.00%), transitions: 0, waits: 0 (0.00 sec)
pins2lts-mc-linux64( 0/ 8), 2816.399: all-red states: 19925341 (99.98%), bogus 0 (0.00%)
pins2lts-mc-linux64( 0/ 8), 2816.399:
pins2lts-mc-linux64( 0/ 8), 2816.399: Total memory used for local state coloring: 0.0MB
pins2lts-mc-linux64( 0/ 8), 2816.399:
pins2lts-mc-linux64( 0/ 8), 2816.399: Queue width: 8B, total height: 496, memory: 0.00MB
pins2lts-mc-linux64( 0/ 8), 2816.399: Tree memory: 408.0MB, 21.5 B/state, compr.: 5.1%
pins2lts-mc-linux64( 0/ 8), 2816.399: Tree fill ratio (roots/leafs): 14.0%/99.0%
pins2lts-mc-linux64( 0/ 8), 2816.399: Stored 630 string chucks using 0MB
pins2lts-mc-linux64( 0/ 8), 2816.399: Total memory used for chunk indexing: 0MB
pins2lts-mc-linux64( 0/ 8), 2816.399: Est. total memory use: 408.1MB (~1024.0MB paged-in)
WARNING : LTS min runner thread failed on error :java.lang.RuntimeException: Unexpected exception when executing ltsmin :cd /tmp/ltsmin7073741297546510399;'/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.move.gal.ltsmin.binaries_1.0.0.202304061127/bin/pins2lts-mc-linux64' './gal.so' '--threads=8' '-p' '--pins-guards' '--when' '--ltl' '<>((LTLAPp0==true))' '--buchi-type=spotba'
255
java.lang.RuntimeException: Unexpected exception when executing ltsmin :cd /tmp/ltsmin7073741297546510399;'/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.move.gal.ltsmin.binaries_1.0.0.202304061127/bin/pins2lts-mc-linux64' './gal.so' '--threads=8' '-p' '--pins-guards' '--when' '--ltl' '<>((LTLAPp0==true))' '--buchi-type=spotba'
255
at fr.lip6.move.gal.application.runner.ltsmin.LTSminRunner.checkProperty(LTSminRunner.java:240)
at fr.lip6.move.gal.application.runner.ltsmin.LTSminRunner$1.checkProperties(LTSminRunner.java:175)
at fr.lip6.move.gal.application.runner.ltsmin.LTSminRunner$1.run(LTSminRunner.java:113)
at java.base/java.lang.Thread.run(Thread.java:833)
TIME LIMIT: Killed by timeout after 3600 seconds
MemTotal: 16393216 kB
MemFree: 2598680 kB
After kill :
MemTotal: 16393216 kB
MemFree: 16037324 kB
BK_TIME_CONFINEMENT_REACHED
--------------------
content from stderr:
+ export BINDIR=/home/mcc/BenchKit/bin//../itstools/bin//../
+ BINDIR=/home/mcc/BenchKit/bin//../itstools/bin//../
++ pwd
+ export MODEL=/home/mcc/execution
+ MODEL=/home/mcc/execution
+ [[ LTLFireability = StateSpace ]]
+ /home/mcc/BenchKit/bin//../itstools/bin//..//runeclipse.sh /home/mcc/execution LTLFireability -its -ltsmin -greatspnpath /home/mcc/BenchKit/bin//../itstools/bin//..//greatspn/ -order META -manyOrder -smt -timeout 3600
+ ulimit -s 65536
+ [[ -z '' ]]
+ export LTSMIN_MEM_SIZE=8589934592
+ LTSMIN_MEM_SIZE=8589934592
+ export PYTHONPATH=/home/mcc/BenchKit/itstools/pylibs
+ PYTHONPATH=/home/mcc/BenchKit/itstools/pylibs
+ export LD_LIBRARY_PATH=/home/mcc/BenchKit/itstools/pylibs:
+ LD_LIBRARY_PATH=/home/mcc/BenchKit/itstools/pylibs:
++ sed s/.jar//
++ ls /home/mcc/BenchKit/bin//../itstools/bin//..//itstools/plugins/fr.lip6.move.gal.application.pnmcc_1.0.0.202304061127.jar
++ perl -pe 's/.*\.//g'
+ VERSION=202304061127
+ echo 'Running Version 202304061127'
+ /home/mcc/BenchKit/bin//../itstools/bin//..//itstools/its-tools -pnfolder /home/mcc/execution -examination LTLFireability -its -ltsmin -greatspnpath /home/mcc/BenchKit/bin//../itstools/bin//..//greatspn/ -order META -manyOrder -smt -timeout 3600
Sequence of Actions to be Executed by the VM
This is useful if one wants to reexecute the tool in the VM from the submitted image disk.
set -x
# this is for BenchKit: configuration of major elements for the test
export BK_INPUT="PermAdmissibility-PT-10"
export BK_EXAMINATION="LTLFireability"
export BK_TOOL="gold2023"
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 2-5568"
echo " Executing tool gold2023"
echo " Input is PermAdmissibility-PT-10, examination is LTLFireability"
echo " Time confinement is $BK_TIME_CONFINEMENT seconds"
echo " Memory confinement is 16384 MBytes"
echo " Number of cores is 4"
echo " Run identifier is r285-smll-171654422000113"
echo "====================================================================="
echo
echo "--------------------"
echo "preparation of the directory to be used:"
tar xzf /home/mcc/BenchKit/INPUTS/PermAdmissibility-PT-10.tgz
mv PermAdmissibility-PT-10 execution
cd execution
if [ "LTLFireability" = "ReachabilityDeadlock" ] || [ "LTLFireability" = "UpperBounds" ] || [ "LTLFireability" = "QuasiLiveness" ] || [ "LTLFireability" = "StableMarking" ] || [ "LTLFireability" = "Liveness" ] || [ "LTLFireability" = "OneSafe" ] || [ "LTLFireability" = "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 [ "LTLFireability" = "UpperBounds" ] ; then
echo "The expected result is a vector of positive values"
echo NUM_VECTOR
elif [ "LTLFireability" != "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 "LTLFireability.txt" ] ; then
echo "here is the order used to build the result vector(from text file)"
for x in $(grep Property LTLFireability.txt | cut -d ' ' -f 2 | sort -u) ; do
echo "FORMULA_NAME $x"
done
elif [ -f "LTLFireability.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 [ "LTLFireability" = "ReachabilityDeadlock" ] || [ "LTLFireability" = "QuasiLiveness" ] || [ "LTLFireability" = "StableMarking" ] || [ "LTLFireability" = "Liveness" ] || [ "LTLFireability" = "OneSafe" ] ; then
echo "FORMULA_NAME LTLFireability"
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 ;