About the Execution of 2020-gold for TriangularGrid-PT-1200
| Execution Summary | |||||
| Max Memory Used (MB) |
Time wait (ms) | CPU Usage (ms) | I/O Wait (ms) | Computed Result | Execution Status |
| 4272.151 | 3600000.00 | 15225.00 | 455.40 | FFTFFFTFTFFTFFTT | normal |
Execution Chart
We display below the execution chart for this examination (boot time has been removed).
Trace from the execution
Formatting '/data/fkordon/mcc2021-input.r284-smll-162123894400069.qcow2', fmt=qcow2 size=4294967296 backing_file=/data/fkordon/mcc2021-input.qcow2 cluster_size=65536 lazy_refcounts=off refcount_bits=16
Waiting for the VM to be ready (probing ssh)
...............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................
=====================================================================
Generated by BenchKit 2-4028
Executing tool gold2020
Input is TriangularGrid-PT-1200, examination is LTLCardinality
Time confinement is 3600 seconds
Memory confinement is 16384 MBytes
Number of cores is 4
Run identifier is r284-smll-162123894400069
=====================================================================
--------------------
preparation of the directory to be used:
/home/mcc/execution
total 400K
-rw-r--r-- 1 mcc users 12K May 5 16:58 CTLCardinality.txt
-rw-r--r-- 1 mcc users 84K May 10 09:44 CTLCardinality.xml
-rw-r--r-- 1 mcc users 16K May 5 16:58 CTLFireability.txt
-rw-r--r-- 1 mcc users 123K May 10 09:44 CTLFireability.xml
-rw-r--r-- 1 mcc users 4.2K May 6 14:48 GenericPropertiesDefinition.xml
-rw-r--r-- 1 mcc users 6.4K May 6 14:48 GenericPropertiesVerdict.xml
-rw-r--r-- 1 mcc users 3.7K Apr 26 07:43 LTLCardinality.txt
-rw-r--r-- 1 mcc users 25K Apr 26 07:43 LTLCardinality.xml
-rw-r--r-- 1 mcc users 2.3K Apr 26 07:43 LTLFireability.txt
-rw-r--r-- 1 mcc users 18K Apr 26 07:43 LTLFireability.xml
-rw-r--r-- 1 mcc users 4.2K Mar 27 14:35 ReachabilityCardinality.txt
-rw-r--r-- 1 mcc users 21K Mar 27 14:35 ReachabilityCardinality.xml
-rw-r--r-- 1 mcc users 3.5K Mar 26 05:32 ReachabilityFireability.txt
-rw-r--r-- 1 mcc users 21K Mar 26 05:32 ReachabilityFireability.xml
-rw-r--r-- 1 mcc users 1.8K Mar 22 08:16 UpperBounds.txt
-rw-r--r-- 1 mcc users 3.8K Mar 22 08:16 UpperBounds.xml
-rw-r--r-- 1 mcc users 6 May 5 16:52 equiv_col
-rw-r--r-- 1 mcc users 5 May 5 16:52 instance
-rw-r--r-- 1 mcc users 6 May 5 16:52 iscolored
-rwxr-xr-x 1 mcc users 9.7K May 5 16:52 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 TriangularGrid-PT-1200-00
FORMULA_NAME TriangularGrid-PT-1200-01
FORMULA_NAME TriangularGrid-PT-1200-02
FORMULA_NAME TriangularGrid-PT-1200-03
FORMULA_NAME TriangularGrid-PT-1200-04
FORMULA_NAME TriangularGrid-PT-1200-05
FORMULA_NAME TriangularGrid-PT-1200-06
FORMULA_NAME TriangularGrid-PT-1200-07
FORMULA_NAME TriangularGrid-PT-1200-08
FORMULA_NAME TriangularGrid-PT-1200-09
FORMULA_NAME TriangularGrid-PT-1200-10
FORMULA_NAME TriangularGrid-PT-1200-11
FORMULA_NAME TriangularGrid-PT-1200-12
FORMULA_NAME TriangularGrid-PT-1200-13
FORMULA_NAME TriangularGrid-PT-1200-14
FORMULA_NAME TriangularGrid-PT-1200-15
=== Now, execution of the tool begins
BK_START 1621434654484
bash -c /home/mcc/BenchKit/BenchKit_head.sh 2> STDERR ; echo ; echo -n "BK_STOP " ; date -u +%s%3N
[2021-05-19 14:30:57] [INFO ] Running its-tools with arguments : [-pnfolder, /home/mcc/execution, -examination, LTLCardinality, -z3path, /home/mcc/BenchKit//z3/bin/z3, -yices2path, /home/mcc/BenchKit//yices/bin/yices, -timeout, 3600, -rebuildPNML]
[2021-05-19 14:30:57] [INFO ] Parsing pnml file : /home/mcc/execution/model.pnml
[2021-05-19 14:30:57] [INFO ] Load time of PNML (sax parser for PT used): 84 ms
[2021-05-19 14:30:57] [INFO ] Transformed 16 places.
[2021-05-19 14:30:57] [INFO ] Transformed 12 transitions.
[2021-05-19 14:30:57] [INFO ] Parsed PT model containing 16 places and 12 transitions in 177 ms.
Parsed 16 properties from file /home/mcc/execution/LTLCardinality.xml in 48 ms.
Working with output stream class java.io.PrintStream
Incomplete random walk after 100000 steps, including 0 resets, run finished after 412 ms. (steps per millisecond=242 ) properties seen :[1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0]
// Phase 1: matrix 12 rows 16 cols
[2021-05-19 14:30:58] [INFO ] Computed 8 place invariants in 6 ms
[2021-05-19 14:30:58] [INFO ] [Real]Absence check using 7 positive place invariants in 29 ms returned unsat
[2021-05-19 14:30:58] [INFO ] [Real]Absence check using 7 positive place invariants in 7 ms returned unsat
[2021-05-19 14:30:58] [INFO ] [Real]Absence check using 7 positive place invariants in 5 ms returned unsat
[2021-05-19 14:30:58] [INFO ] [Real]Absence check using 7 positive place invariants in 5 ms returned unsat
[2021-05-19 14:30:58] [INFO ] [Real]Absence check using 7 positive place invariants in 6 ms returned unsat
[2021-05-19 14:30:58] [INFO ] [Real]Absence check using 7 positive place invariants in 6 ms returned unsat
[2021-05-19 14:30:58] [INFO ] [Real]Absence check using 7 positive place invariants in 5 ms returned unsat
[2021-05-19 14:30:58] [INFO ] [Real]Absence check using 7 positive place invariants in 4 ms returned unsat
[2021-05-19 14:30:58] [INFO ] [Real]Absence check using 7 positive place invariants in 5 ms returned unsat
[2021-05-19 14:30:58] [INFO ] [Real]Absence check using 7 positive place invariants in 8 ms returned unsat
[2021-05-19 14:30:58] [INFO ] [Real]Absence check using 7 positive place invariants in 4 ms returned unsat
[2021-05-19 14:30:58] [INFO ] [Real]Absence check using 7 positive place invariants in 5 ms returned unsat
Successfully simplified 12 atomic propositions for a total of 15 simplifications.
[2021-05-19 14:30:59] [INFO ] Initial state reduction rules for CTL removed 8 formulas.
[2021-05-19 14:30:59] [INFO ] Flatten gal took : 49 ms
FORMULA TriangularGrid-PT-1200-12 FALSE TECHNIQUES TOPOLOGICAL INITIAL_STATE
FORMULA TriangularGrid-PT-1200-11 TRUE TECHNIQUES TOPOLOGICAL INITIAL_STATE
FORMULA TriangularGrid-PT-1200-10 FALSE TECHNIQUES TOPOLOGICAL INITIAL_STATE
FORMULA TriangularGrid-PT-1200-09 FALSE TECHNIQUES TOPOLOGICAL INITIAL_STATE
FORMULA TriangularGrid-PT-1200-08 TRUE TECHNIQUES TOPOLOGICAL INITIAL_STATE
FORMULA TriangularGrid-PT-1200-06 TRUE TECHNIQUES TOPOLOGICAL INITIAL_STATE
FORMULA TriangularGrid-PT-1200-03 FALSE TECHNIQUES TOPOLOGICAL INITIAL_STATE
FORMULA TriangularGrid-PT-1200-02 TRUE TECHNIQUES TOPOLOGICAL INITIAL_STATE
[2021-05-19 14:30:59] [INFO ] Initial state reduction rules for CTL removed 1 formulas.
[2021-05-19 14:30:59] [INFO ] Flatten gal took : 12 ms
[2021-05-19 14:30:59] [INFO ] Initial state reduction rules for CTL removed 2 formulas.
FORMULA TriangularGrid-PT-1200-15 TRUE TECHNIQUES TOPOLOGICAL INITIAL_STATE
FORMULA TriangularGrid-PT-1200-13 FALSE TECHNIQUES TOPOLOGICAL INITIAL_STATE
[2021-05-19 14:30:59] [INFO ] Export to MCC properties in file /home/mcc/execution/LTLCardinality.sr.xml took 4 ms.
[2021-05-19 14:30:59] [INFO ] Export to PNML in file /home/mcc/execution/model.sr.pnml took 1 ms.
info: Time: 3600 - MCC
vrfy: Checking LTLCardinality @ TriangularGrid-PT-1200 @ 3570 seconds
FORMULA TriangularGrid-PT-1200-05 FALSE TECHNIQUES COLLATERAL_PROCESSING EXPLICIT TOPOLOGICAL STATE_COMPRESSION STUBBORN_SETS USE_NUPN UNFOLDING_TO_PT
FORMULA TriangularGrid-PT-1200-14 TRUE TECHNIQUES COLLATERAL_PROCESSING EXPLICIT TOPOLOGICAL STATE_COMPRESSION STUBBORN_SETS USE_NUPN UNFOLDING_TO_PT
FORMULA TriangularGrid-PT-1200-01 FALSE TECHNIQUES COLLATERAL_PROCESSING EXPLICIT TOPOLOGICAL STATE_COMPRESSION STUBBORN_SETS USE_NUPN UNFOLDING_TO_PT
FORMULA TriangularGrid-PT-1200-00 FALSE TECHNIQUES COLLATERAL_PROCESSING EXPLICIT TOPOLOGICAL STATE_COMPRESSION STUBBORN_SETS USE_NUPN UNFOLDING_TO_PT
FORMULA TriangularGrid-PT-1200-04 FALSE TECHNIQUES COLLATERAL_PROCESSING EXPLICIT TOPOLOGICAL STATE_COMPRESSION STUBBORN_SETS USE_NUPN UNFOLDING_TO_PT
FORMULA TriangularGrid-PT-1200-07 FALSE TECHNIQUES COLLATERAL_PROCESSING EXPLICIT TOPOLOGICAL STATE_COMPRESSION STUBBORN_SETS USE_NUPN UNFOLDING_TO_PT
vrfy: finished
info: timeLeft: 3567
rslt: Output for LTLCardinality @ TriangularGrid-PT-1200
{
"build":
{
"architecture": 64,
"assertions": false,
"build_hostname": "mcc2019",
"build_system": "x86_64-unknown-linux-gnu",
"optimizations": true,
"package_version": "2.0",
"svn_version": "3189M"
},
"call":
{
"exec_host": "mcc2020",
"markinglimit": null,
"parameters":
[
"--pnmlnet",
"model.pnml",
"--xmlformula",
"--formula=LTLCardinality.xml",
"--mcc",
"--donotcomputecapacities",
"--encoder=simplecompressed",
"--check=modelchecking",
"--stubborn=deletion",
"--stateequation=par",
"--timelimit=3570",
"--localtimelimit=0",
"--preference=force_ltl",
"--json=LTLCardinality.json",
"--jsoninclude=formula,formulastat,net"
],
"starttime": "Wed May 19 14:31:00 2021
",
"timelimit": 3570
},
"child":
[
{
"call":
{
"dynamic_timelimit": true,
"localtimelimit": 594
},
"exit":
{
"localtimelimitreached": false
},
"formula":
{
"count":
{
"A": 0,
"E": 0,
"F": 0,
"G": 2,
"U": 0,
"X": 1,
"aconj": 0,
"adisj": 0,
"aneg": 3,
"comp": 3,
"cont": 0,
"dl": 0,
"fir": 0,
"nodl": 0,
"place_references": 6,
"taut": 0,
"tconj": 0,
"tdisj": 2,
"tneg": 0,
"transition_references": 0,
"unfir": 0,
"visible_places": 6,
"visible_transitions": 0
},
"processed": "G ((X ((G ((p14 + 1 <= p13)) OR (p10 + 1 <= p15))) OR (p11 + 1 <= p6)))",
"processed_size": 71,
"rewrites": 38
},
"result":
{
"edges": 66,
"markings": 66,
"produced_by": "LTL model checker",
"value": false
},
"task":
{
"buchi":
{
"states": 4
},
"compoundnumber": 0,
"search":
{
"store":
{
"encoder": "simple compression",
"type": "prefix"
},
"stubborn":
{
"type": "no (formula contains X operator)"
},
"type": "product automaton/dfs"
},
"type": "LTL",
"workflow": "product automaton"
}
},
{
"call":
{
"dynamic_timelimit": true,
"localtimelimit": 713
},
"child":
[
{
"call":
{
"dynamic_timelimit": true,
"localtimelimit": 713
},
"exit":
{
"localtimelimitreached": false
},
"formula":
{
"count":
{
"A": 0,
"E": 0,
"F": 0,
"G": 1,
"U": 0,
"X": 0,
"aconj": 0,
"adisj": 0,
"aneg": 1,
"comp": 1,
"cont": 0,
"dl": 0,
"fir": 0,
"nodl": 0,
"place_references": 1,
"taut": 0,
"tconj": 0,
"tdisj": 0,
"tneg": 0,
"transition_references": 0,
"unfir": 0,
"visible_places": 1,
"visible_transitions": 0
},
"processed": "G ((2 <= p1))",
"processed_size": 13,
"rewrites": 38
},
"result":
{
"edges": 1297,
"markings": 1087,
"produced_by": "LTL model checker",
"value": false
},
"task":
{
"buchi":
{
"states": 2
},
"compoundnumber": 1,
"search":
{
"store":
{
"encoder": "simple compression",
"type": "prefix"
},
"stubborn":
{
"type": "ltl preserving/insertion"
},
"type": "product automaton/dfs"
},
"type": "LTL",
"workflow": "product automaton"
}
},
{
"call":
{
"dynamic_timelimit": true,
"localtimelimit": 891
},
"exit":
{
"localtimelimitreached": false
},
"formula":
{
"count":
{
"A": 0,
"E": 0,
"F": 0,
"G": 0,
"U": 0,
"X": 0,
"aconj": 0,
"adisj": 0,
"aneg": 1,
"comp": 1,
"cont": 0,
"dl": 0,
"fir": 0,
"nodl": 0,
"place_references": 1,
"taut": 0,
"tconj": 0,
"tdisj": 0,
"tneg": 0,
"transition_references": 0,
"unfir": 0,
"visible_places": 1,
"visible_transitions": 0
},
"processed": "(2 <= p1)",
"processed_size": 9,
"rewrites": 38
},
"result":
{
"edges": 0,
"markings": 0,
"produced_by": "preprocessing",
"value": true
},
"task":
{
"compoundnumber": 2,
"type": "initial_satisfaction",
"workflow": "preprocessing"
}
},
{
"call":
{
"dynamic_timelimit": true,
"localtimelimit": 1189
},
"exit":
{
"localtimelimitreached": false
},
"formula":
{
"count":
{
"A": 0,
"E": 0,
"F": 1,
"G": 2,
"U": 0,
"X": 0,
"aconj": 0,
"adisj": 0,
"aneg": 3,
"comp": 3,
"cont": 0,
"dl": 0,
"fir": 0,
"nodl": 0,
"place_references": 5,
"taut": 0,
"tconj": 1,
"tdisj": 1,
"tneg": 0,
"transition_references": 0,
"unfir": 0,
"visible_places": 2,
"visible_transitions": 0
},
"processed": "G (F ((G ((p8 + 1 <= p2)) OR ((p2 <= 2) AND (p8 + 1 <= p2)))))",
"processed_size": 62,
"rewrites": 38
},
"result":
{
"edges": 278047,
"markings": 86262,
"produced_by": "LTL model checker",
"value": false
},
"task":
{
"buchi":
{
"states": 4
},
"compoundnumber": 3,
"search":
{
"store":
{
"encoder": "simple compression",
"type": "prefix"
},
"stubborn":
{
"type": "ltl preserving/insertion"
},
"type": "product automaton/dfs"
},
"type": "LTL",
"workflow": "product automaton"
}
},
{
"call":
{
"dynamic_timelimit": true,
"localtimelimit": 1783
},
"exit":
{
"localtimelimitreached": false
},
"formula":
{
"count":
{
"A": 0,
"E": 0,
"F": 0,
"G": 0,
"U": 0,
"X": 1,
"aconj": 0,
"adisj": 0,
"aneg": 0,
"comp": 1,
"cont": 0,
"dl": 0,
"fir": 0,
"nodl": 0,
"place_references": 1,
"taut": 0,
"tconj": 0,
"tdisj": 0,
"tneg": 0,
"transition_references": 0,
"unfir": 0,
"visible_places": 1,
"visible_transitions": 0
},
"processed": "X ((2 <= p1))",
"processed_size": 13,
"rewrites": 38
},
"result":
{
"edges": 3,
"markings": 4,
"produced_by": "LTL model checker",
"value": true
},
"task":
{
"buchi":
{
"states": 3
},
"compoundnumber": 4,
"search":
{
"store":
{
"encoder": "simple compression",
"type": "prefix"
},
"stubborn":
{
"type": "no (formula contains X operator)"
},
"type": "product automaton/dfs"
},
"type": "LTL",
"workflow": "product automaton"
}
}
],
"exit":
{
"localtimelimitreached": false
},
"result":
{
"produced_by": "boolean",
"value": true
},
"task":
{
"compoundnumber": 1,
"type": "boolean"
}
},
{
"call":
{
"dynamic_timelimit": true,
"localtimelimit": 891
},
"exit":
{
"localtimelimitreached": false
},
"formula":
{
"count":
{
"A": 0,
"E": 0,
"F": 1,
"G": 1,
"U": 0,
"X": 0,
"aconj": 0,
"adisj": 0,
"aneg": 1,
"comp": 1,
"cont": 0,
"dl": 0,
"fir": 0,
"nodl": 0,
"place_references": 2,
"taut": 0,
"tconj": 0,
"tdisj": 0,
"tneg": 0,
"transition_references": 0,
"unfir": 0,
"visible_places": 2,
"visible_transitions": 0
},
"processed": "F (G ((p2 + 1 <= p15)))",
"processed_size": 23,
"rewrites": 38
},
"result":
{
"edges": 129,
"markings": 128,
"produced_by": "LTL model checker",
"value": false
},
"task":
{
"buchi":
{
"states": 2
},
"compoundnumber": 2,
"search":
{
"store":
{
"encoder": "simple compression",
"type": "prefix"
},
"stubborn":
{
"type": "ltl preserving/insertion"
},
"type": "product automaton/dfs"
},
"type": "stabilization",
"workflow": "product automaton"
}
},
{
"call":
{
"dynamic_timelimit": true,
"localtimelimit": 1189
},
"exit":
{
"localtimelimitreached": false
},
"formula":
{
"count":
{
"A": 0,
"E": 0,
"F": 0,
"G": 1,
"U": 0,
"X": 0,
"aconj": 0,
"adisj": 0,
"aneg": 0,
"comp": 1,
"cont": 0,
"dl": 0,
"fir": 0,
"nodl": 0,
"place_references": 1,
"taut": 0,
"tconj": 0,
"tdisj": 0,
"tneg": 0,
"transition_references": 0,
"unfir": 0,
"visible_places": 1,
"visible_transitions": 0
},
"processed": "G ((1 <= p9))",
"processed_size": 13,
"rewrites": 38
},
"result":
{
"edges": 132,
"markings": 132,
"produced_by": "LTL model checker",
"value": false
},
"task":
{
"buchi":
{
"states": 2
},
"compoundnumber": 3,
"search":
{
"store":
{
"encoder": "simple compression",
"type": "prefix"
},
"stubborn":
{
"type": "ltl preserving/insertion"
},
"type": "product automaton/dfs"
},
"type": "LTL",
"workflow": "product automaton"
}
},
{
"call":
{
"dynamic_timelimit": true,
"localtimelimit": 1783
},
"exit":
{
"localtimelimitreached": false
},
"formula":
{
"count":
{
"A": 0,
"E": 0,
"F": 2,
"G": 2,
"U": 0,
"X": 0,
"aconj": 0,
"adisj": 0,
"aneg": 2,
"comp": 3,
"cont": 0,
"dl": 0,
"fir": 0,
"nodl": 0,
"place_references": 6,
"taut": 0,
"tconj": 1,
"tdisj": 1,
"tneg": 0,
"transition_references": 0,
"unfir": 0,
"visible_places": 4,
"visible_transitions": 0
},
"processed": "G (F (((F ((p3 <= p9)) OR G ((p0 + 1 <= p2))) AND (p3 <= p9))))",
"processed_size": 63,
"rewrites": 38
},
"result":
{
"edges": 10827,
"markings": 5481,
"produced_by": "LTL model checker",
"value": false
},
"task":
{
"buchi":
{
"states": 4
},
"compoundnumber": 4,
"search":
{
"store":
{
"encoder": "simple compression",
"type": "prefix"
},
"stubborn":
{
"type": "ltl preserving/insertion"
},
"type": "product automaton/dfs"
},
"type": "LTL",
"workflow": "product automaton"
}
},
{
"call":
{
"dynamic_timelimit": true,
"localtimelimit": 3567
},
"exit":
{
"localtimelimitreached": false
},
"formula":
{
"count":
{
"A": 0,
"E": 0,
"F": 1,
"G": 1,
"U": 0,
"X": 0,
"aconj": 0,
"adisj": 1,
"aneg": 0,
"comp": 3,
"cont": 0,
"dl": 0,
"fir": 0,
"nodl": 0,
"place_references": 5,
"taut": 0,
"tconj": 1,
"tdisj": 0,
"tneg": 0,
"transition_references": 0,
"unfir": 0,
"visible_places": 5,
"visible_transitions": 0
},
"processed": "F ((G (((1 <= p15) OR (p6 <= p10))) AND (p2 <= p4)))",
"processed_size": 53,
"rewrites": 38
},
"result":
{
"edges": 9223,
"markings": 6589,
"produced_by": "LTL model checker",
"value": false
},
"task":
{
"buchi":
{
"states": 2
},
"compoundnumber": 5,
"search":
{
"store":
{
"encoder": "simple compression",
"type": "prefix"
},
"stubborn":
{
"type": "ltl preserving/insertion"
},
"type": "product automaton/dfs"
},
"type": "LTL",
"workflow": "product automaton"
}
}
],
"exit":
{
"error": null,
"memory": 18684,
"runtime": 3.000000,
"signal": null,
"timelimitreached": false
},
"files":
{
"formula": "LTLCardinality.xml",
"net": "model.pnml"
},
"formula":
{
"skeleton": "G(**) : F(G(*)) : G(F(((F(**) OR G(*)) AND *))) : G((X((G(*) OR *)) OR *)) : F((G(**) AND **)) : (X(**) OR (* AND (G(*) OR G(F((G(*) OR (* AND *)))))))"
},
"net":
{
"arcs": 48,
"conflict_clusters": 7,
"places": 16,
"places_significant": 8,
"singleton_clusters": 0,
"transitions": 12
},
"result":
{
"preliminary_value": "no no no no no yes ",
"value": "no no no no no yes "
},
"task":
{
"type": "compound"
}
}
lola: LoLA will run for 3570 seconds at most (--timelimit)
lola: NET
lola: input: PNML file (--pnml)
lola: reading net from model.pnml
lola: reading pnml
lola: PNML file contains place/transition net
lola: finished parsing
lola: closed net file model.pnml
lola: 28/268435456 symbol table entries, 0 collisions
lola: preprocessing...
lola: Size of bit vector: 512
lola: finding significant places
lola: 16 places, 12 transitions, 8 significant places
lola: compute conflict clusters
lola: computed conflict clusters
lola: Computing conflicting sets
lola: Computing back conflicting sets
lola: TASK
lola: Reading formula in XML format (--xmlformula)
lola: reading pnml
lola: reading formula from LTLCardinality.xml
lola: G ((1 <= p9)) : NOT(G (F ((p15 <= p2)))) : G (NOT(G (((NOT(F ((p3 <= p9))) AND ((p3 <= p9) U F ((p2 <= p0)))) OR (p9 + 1 <= p3))))) : NOT(F ((X ((F ((p13 <= p14)) AND (p15 <= p10))) AND (p6 <= p11)))) : F ((G (((1 <= p15) OR (p6 <= p10))) AND (p2 <= p4))) : (X ((2 <= p1)) OR NOT((F (G (((3 <= p2) U (p2 <= p8)))) U (p1 <= 1))))
lola: rewrite Frontend/Parser/formula_rewrite.k:329
lola: rewrite Frontend/Parser/formula_rewrite.k:332
lola: rewrite Frontend/Parser/formula_rewrite.k:297
lola: rewrite Frontend/Parser/formula_rewrite.k:332
lola: rewrite Frontend/Parser/formula_rewrite.k:297
lola: rewrite Frontend/Parser/formula_rewrite.k:422
lola: rewrite Frontend/Parser/formula_rewrite.k:329
lola: rewrite Frontend/Parser/formula_rewrite.k:318
lola: rewrite Frontend/Parser/formula_rewrite.k:315
lola: rewrite Frontend/Parser/formula_rewrite.k:329
lola: rewrite Frontend/Parser/formula_rewrite.k:300
lola: rewrite Frontend/Parser/formula_rewrite.k:332
lola: rewrite Frontend/Parser/formula_rewrite.k:297
lola: rewrite Frontend/Parser/formula_rewrite.k:297
lola: rewrite Frontend/Parser/formula_rewrite.k:332
lola: rewrite Frontend/Parser/formula_rewrite.k:315
lola: rewrite Frontend/Parser/formula_rewrite.k:335
lola: rewrite Frontend/Parser/formula_rewrite.k:315
lola: rewrite Frontend/Parser/formula_rewrite.k:332
lola: rewrite Frontend/Parser/formula_rewrite.k:297
lola: rewrite Frontend/Parser/formula_rewrite.k:297
lola: rewrite Frontend/Parser/formula_rewrite.k:297
lola: rewrite Frontend/Parser/formula_rewrite.k:437
lola: rewrite Frontend/Parser/formula_rewrite.k:522
lola: rewrite Frontend/Parser/formula_rewrite.k:428
lola: rewrite Frontend/Parser/formula_rewrite.k:318
lola: rewrite Frontend/Parser/formula_rewrite.k:297
lola: rewrite Frontend/Parser/formula_rewrite.k:315
lola: rewrite Frontend/Parser/formula_rewrite.k:332
lola: rewrite Frontend/Parser/formula_rewrite.k:297
lola: rewrite Frontend/Parser/formula_rewrite.k:332
lola: rewrite Frontend/Parser/formula_rewrite.k:329
lola: rewrite Frontend/Parser/formula_rewrite.k:315
lola: rewrite Frontend/Parser/formula_rewrite.k:332
lola: rewrite Frontend/Parser/formula_rewrite.k:297
lola: rewrite Frontend/Parser/formula_rewrite.k:318
lola: rewrite Frontend/Parser/formula_rewrite.k:297
lola: rewrite Frontend/Parser/formula_rewrite.k:297
lola: computing a collection of formulas
lola: RUNNING
lola: subprocess 0 will run for 594 seconds at most (--localtimelimit=0)
lola: ========================================
lola: ...considering subproblem: G ((X ((G ((p14 + 1 <= p13)) OR (p10 + 1 <= p15))) OR (p11 + 1 <= p6)))
lola: ========================================
lola: SUBTASK
lola: checking LTL
lola: transforming LTL-Formula into a Büchi-Automaton
lola: processed formula: G ((X ((G ((p14 + 1 <= p13)) OR (p10 + 1 <= p15))) OR (p11 + 1 <= p6)))
lola: processed formula length: 71
lola: 38 rewrites
lola: closed formula file LTLCardinality.xml
lola: the resulting Büchi automaton has 4 states
lola: STORE
lola: using a simple compression encoder (--encoder=simplecompressed)
lola: using a prefix tree store (--store=prefix)
lola: Formula contains X operator; stubborn sets not applicable
lola: Formula contains X operator; stubborn sets not applicable
lola: SEARCH
lola: RUNNING
lola: SUBRESULT
lola: result: no
lola: produced by: LTL model checker
lola: The net does not satisfy the given formula (language of the product automaton is nonempty).
lola: 66 markings, 66 edges
lola: ========================================
lola: subprocess 1 will run for 713 seconds at most (--localtimelimit=0)
lola: ========================================
lola: ...considering subproblem: (X ((2 <= p1)) OR ((2 <= p1) AND (G ((2 <= p1)) OR G (F ((G ((p8 + 1 <= p2)) OR ((p2 <= 2) AND (p8 + 1 <= p2))))))))
lola: ========================================
lola: SUBTASK
lola: checking a Boolean combination of formulas
lola: RUNNING
lola: subprocess 1 will run for 713 seconds at most (--localtimelimit=0)
lola: ========================================
lola: ...considering subproblem: G ((2 <= p1))
lola: ========================================
lola: SUBTASK
lola: checking LTL
lola: transforming LTL-Formula into a Büchi-Automaton
lola: processed formula: G ((2 <= p1))
lola: processed formula length: 13
lola: 38 rewrites
lola: closed formula file LTLCardinality.xml
lola: the resulting Büchi automaton has 2 states
lola: STORE
lola: using a simple compression encoder (--encoder=simplecompressed)
lola: using a prefix tree store (--store=prefix)
lola: using ltl preserving stubborn set method with deletion algorithm (--stubborn=deletion)
lola: using ltl preserving stubborn set method with insertion algorithm(--stubborn=tarjan)
lola: SEARCH
lola: RUNNING
lola: SUBRESULT
lola: result: no
lola: produced by: LTL model checker
lola: The net does not satisfy the given formula (language of the product automaton is nonempty).
lola: 1087 markings, 1297 edges
lola: ========================================
lola: subprocess 2 will run for 891 seconds at most (--localtimelimit=0)
lola: ========================================
lola: ...considering subproblem: (2 <= p1)
lola: ========================================
lola: SUBTASK
lola: checking initial satisfaction
lola: processed formula: (2 <= p1)
lola: processed formula length: 9
lola: 38 rewrites
lola: closed formula file LTLCardinality.xml
lola: processed formula with 1 atomic propositions
lola: RUNNING
lola: SUBRESULT
lola: result: yes
lola: produced by: preprocessing
lola: The net satisfies the property already in its initial state.
lola: 0 markings, 0 edges
lola: ========================================
lola: subprocess 3 will run for 1189 seconds at most (--localtimelimit=0)
lola: ========================================
lola: ...considering subproblem: G (F ((G ((p8 + 1 <= p2)) OR ((p2 <= 2) AND (p8 + 1 <= p2)))))
lola: ========================================
lola: SUBTASK
lola: checking LTL
lola: transforming LTL-Formula into a Büchi-Automaton
lola: processed formula: G (F ((G ((p8 + 1 <= p2)) OR ((p2 <= 2) AND (p8 + 1 <= p2)))))
lola: processed formula length: 62
lola: 38 rewrites
lola: closed formula file LTLCardinality.xml
lola: the resulting Büchi automaton has 4 states
lola: STORE
lola: using a simple compression encoder (--encoder=simplecompressed)
lola: using a prefix tree store (--store=prefix)
lola: using ltl preserving stubborn set method with deletion algorithm (--stubborn=deletion)
lola: using ltl preserving stubborn set method with insertion algorithm(--stubborn=tarjan)
lola: SEARCH
lola: RUNNING
lola: SUBRESULT
lola: result: no
lola: produced by: LTL model checker
lola: The net does not satisfy the given formula (language of the product automaton is nonempty).
lola: 86262 markings, 278047 edges
lola: ========================================
lola: subprocess 4 will run for 1783 seconds at most (--localtimelimit=0)
lola: ========================================
lola: ...considering subproblem: X ((2 <= p1))
lola: ========================================
lola: SUBTASK
lola: checking LTL
lola: transforming LTL-Formula into a Büchi-Automaton
lola: processed formula: X ((2 <= p1))
lola: processed formula length: 13
lola: 38 rewrites
lola: closed formula file LTLCardinality.xml
lola: the resulting Büchi automaton has 3 states
lola: STORE
lola: using a simple compression encoder (--encoder=simplecompressed)
lola: using a prefix tree store (--store=prefix)
lola: Formula contains X operator; stubborn sets not applicable
lola: Formula contains X operator; stubborn sets not applicable
lola: SEARCH
lola: RUNNING
lola: SUBRESULT
lola: result: yes
lola: produced by: LTL model checker
lola: The net satisfies the given formula (language of the product automaton is empty).
lola: 4 markings, 3 edges
lola: ========================================
lola: SUBRESULT
lola: result: yes
lola: The Boolean predicate is true.
lola: ========================================
lola: subprocess 2 will run for 891 seconds at most (--localtimelimit=0)
lola: ========================================
lola: ...considering subproblem: F (G ((p2 + 1 <= p15)))
lola: ========================================
lola: SUBTASK
lola: checking stabilization
lola: stabilization not yet implemented, converting to LTL...
lola: transforming LTL-Formula into a Büchi-Automaton
lola: processed formula: F (G ((p2 + 1 <= p15)))
lola: processed formula length: 23
lola: 38 rewrites
lola: closed formula file LTLCardinality.xml
lola: the resulting Büchi automaton has 2 states
lola: STORE
lola: using a simple compression encoder (--encoder=simplecompressed)
lola: using a prefix tree store (--store=prefix)
lola: using ltl preserving stubborn set method with deletion algorithm (--stubborn=deletion)
lola: using ltl preserving stubborn set method with insertion algorithm(--stubborn=tarjan)
lola: SEARCH
lola: RUNNING
lola: SUBRESULT
lola: result: no
lola: produced by: LTL model checker
lola: The net does not satisfy the given formula (language of the product automaton is nonempty).
lola: 128 markings, 129 edges
lola: ========================================
lola: subprocess 3 will run for 1189 seconds at most (--localtimelimit=0)
lola: ========================================
lola: ...considering subproblem: G ((1 <= p9))
lola: ========================================
lola: SUBTASK
lola: checking LTL
lola: transforming LTL-Formula into a Büchi-Automaton
lola: processed formula: G ((1 <= p9))
lola: processed formula length: 13
lola: 38 rewrites
lola: closed formula file LTLCardinality.xml
lola: the resulting Büchi automaton has 2 states
lola: STORE
lola: using a simple compression encoder (--encoder=simplecompressed)
lola: using a prefix tree store (--store=prefix)
lola: using ltl preserving stubborn set method with deletion algorithm (--stubborn=deletion)
lola: using ltl preserving stubborn set method with insertion algorithm(--stubborn=tarjan)
lola: SEARCH
lola: RUNNING
lola: SUBRESULT
lola: result: no
lola: produced by: LTL model checker
lola: The net does not satisfy the given formula (language of the product automaton is nonempty).
lola: 132 markings, 132 edges
lola: ========================================
lola: subprocess 4 will run for 1783 seconds at most (--localtimelimit=0)
lola: ========================================
lola: ...considering subproblem: G (F (((F ((p3 <= p9)) OR G ((p0 + 1 <= p2))) AND (p3 <= p9))))
lola: ========================================
lola: SUBTASK
lola: checking LTL
lola: transforming LTL-Formula into a Büchi-Automaton
lola: processed formula: G (F (((F ((p3 <= p9)) OR G ((p0 + 1 <= p2))) AND (p3 <= p9))))
lola: processed formula length: 63
lola: 38 rewrites
lola: closed formula file LTLCardinality.xml
lola: the resulting Büchi automaton has 4 states
lola: STORE
lola: using a simple compression encoder (--encoder=simplecompressed)
lola: using a prefix tree store (--store=prefix)
lola: using ltl preserving stubborn set method with deletion algorithm (--stubborn=deletion)
lola: using ltl preserving stubborn set method with insertion algorithm(--stubborn=tarjan)
lola: SEARCH
lola: RUNNING
lola: add low 0
lola: add low 9
lola: add low 4
lola: add low 0
lola: add low 9
lola: add low 4
lola: add low 0
lola: add low 9
lola: add low 4
lola: add low 0
lola: add low 9
lola: add low 4
lola: add low 0
lola: add low 9
lola: add low 4
lola: add low 0
lola: add low 9
lola: add low 4
lola: add low 0
lola: add low 9
lola: add low 4
lola: add low 0
lola: add low 9
lola: add low 4
lola: add low 0
lola: SUBRESULT
lola: result: no
lola: produced by: LTL model checker
lola: The net does not satisfy the given formula (language of the product automaton is nonempty).
lola: 5481 markings, 10827 edges
lola: ========================================
lola: subprocess 5 will run for 3567 seconds at most (--localtimelimit=0)
lola: ========================================
lola: ...considering subproblem: F ((G (((1 <= p15) OR (p6 <= p10))) AND (p2 <= p4)))
lola: ========================================
lola: SUBTASK
lola: checking LTL
lola: transforming LTL-Formula into a Büchi-Automaton
lola: processed formula: F ((G (((1 <= p15) OR (p6 <= p10))) AND (p2 <= p4)))
lola: processed formula length: 53
lola: 38 rewrites
lola: closed formula file LTLCardinality.xml
lola: the resulting Büchi automaton has 2 states
lola: STORE
lola: using a simple compression encoder (--encoder=simplecompressed)
lola: using a prefix tree store (--store=prefix)
lola: using ltl preserving stubborn set method with deletion algorithm (--stubborn=deletion)
lola: using ltl preserving stubborn set method with insertion algorithm(--stubborn=tarjan)
lola: SEARCH
lola: RUNNING
lola: SUBRESULT
lola: result: no
lola: produced by: LTL model checker
lola: The net does not satisfy the given formula (language of the product automaton is nonempty).
lola: 6589 markings, 9223 edges
lola: ========================================
lola: RESULT
lola:
SUMMARY: no no no no no yes
lola:
preliminary result: no no no no no yes
lola: memory consumption: 18684 KB
lola: time consumption: 3 seconds
lola: print data as JSON (--json)
lola: writing JSON to LTLCardinality.json
lola: closed JSON file LTLCardinality.json
rslt: finished
--------------------
content from stderr:
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="TriangularGrid-PT-1200"
export BK_EXAMINATION="LTLCardinality"
export BK_TOOL="gold2020"
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 2-4028"
echo " Executing tool gold2020"
echo " Input is TriangularGrid-PT-1200, examination is LTLCardinality"
echo " Time confinement is $BK_TIME_CONFINEMENT seconds"
echo " Memory confinement is 16384 MBytes"
echo " Number of cores is 4"
echo " Run identifier is r284-smll-162123894400069"
echo "====================================================================="
echo
echo "--------------------"
echo "preparation of the directory to be used:"
tar xzf /home/mcc/BenchKit/INPUTS/TriangularGrid-PT-1200.tgz
mv TriangularGrid-PT-1200 execution
cd execution
if [ "LTLCardinality" = "ReachabilityDeadlock" ] || [ "LTLCardinality" = "UpperBounds" ] || [ "LTLCardinality" = "QuasiLiveness" ] || [ "LTLCardinality" = "StableMarking" ] || [ "LTLCardinality" = "Liveness" ] || [ "LTLCardinality" = "OneSafe" ] || [ "LTLCardinality" = "StateSpace" ]; then
rm -f GenericPropertiesVerdict.xml
fi
pwd
ls -lh
echo
echo "--------------------"
echo "content from stdout:"
echo
echo "=== Data for post analysis generated by BenchKit (invocation template)"
echo
if [ "LTLCardinality" = "UpperBounds" ] ; then
echo "The expected result is a vector of positive values"
echo NUM_VECTOR
elif [ "LTLCardinality" != "StateSpace" ] ; then
echo "The expected result is a vector of booleans"
echo BOOL_VECTOR
else
echo "no data necessary for post analysis"
fi
echo
if [ -f "LTLCardinality.txt" ] ; then
echo "here is the order used to build the result vector(from text file)"
for x in $(grep Property LTLCardinality.txt | cut -d ' ' -f 2 | sort -u) ; do
echo "FORMULA_NAME $x"
done
elif [ -f "LTLCardinality.xml" ] ; then # for cunf (txt files deleted;-)
echo echo "here is the order used to build the result vector(from xml file)"
for x in $(grep '
echo "FORMULA_NAME $x"
done
elif [ "LTLCardinality" = "ReachabilityDeadlock" ] || [ "LTLCardinality" = "QuasiLiveness" ] || [ "LTLCardinality" = "StableMarking" ] || [ "LTLCardinality" = "Liveness" ] || [ "LTLCardinality" = "OneSafe" ] ; then
echo "FORMULA_NAME LTLCardinality"
fi
echo
echo "=== Now, execution of the tool begins"
echo
echo -n "BK_START "
date -u +%s%3N
echo
timeout -s 9 $BK_TIME_CONFINEMENT bash -c "/home/mcc/BenchKit/BenchKit_head.sh 2> STDERR ; echo ; echo -n \"BK_STOP \" ; date -u +%s%3N"
if [ $? -eq 137 ] ; then
echo
echo "BK_TIME_CONFINEMENT_REACHED"
fi
echo
echo "--------------------"
echo "content from stderr:"
echo
cat STDERR ;